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Finding the Fourth Proportional to 895.77, 1,344.29 and 433.77

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Solution

The fourth proportional to 895.77, 1,344.29 and 433.77 is: 650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.77 : 1,344.29 = 433.77 : x
  2. Step 2: Convert to fraction form
    895.77/1,344.29 = 433.77/x
  3. Step 3: Cross multiply
    895.77x = 1,344.29 × 433.77
  4. Step 4: Simplify right side
    895.77x = 583,110.50
  5. Step 5: Solve for x
    x = 583,110.50/895.77
  6. Step 6: Final answer
    x = 650.96

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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.