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Finding the Fourth Proportional to 874.77, 1,312.16 and 411.23

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Solution

The fourth proportional to 874.77, 1,312.16 and 411.23 is: 616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.77 : 1,312.16 = 411.23 : x
  2. Step 2: Convert to fraction form
    874.77/1,312.16 = 411.23/x
  3. Step 3: Cross multiply
    874.77x = 1,312.16 × 411.23
  4. Step 4: Simplify right side
    874.77x = 539,599.56
  5. Step 5: Solve for x
    x = 539,599.56/874.77
  6. Step 6: Final answer
    x = 616.85

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.