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Finding the Fourth Proportional to 884.32, 1,316.85 and 874.61

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Solution

The fourth proportional to 884.32, 1,316.85 and 874.61 is: 1,302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.32 : 1,316.85 = 874.61 : x
  2. Step 2: Convert to fraction form
    884.32/1,316.85 = 874.61/x
  3. Step 3: Cross multiply
    884.32x = 1,316.85 × 874.61
  4. Step 4: Simplify right side
    884.32x = 1,151,722.51
  5. Step 5: Solve for x
    x = 1,151,722.51/884.32
  6. Step 6: Final answer
    x = 1,302.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.