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Finding the Fourth Proportional to 691.52, 1,035.48 and 402.80

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Solution

The fourth proportional to 691.52, 1,035.48 and 402.80 is: 603.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.52 : 1,035.48 = 402.80 : x
  2. Step 2: Convert to fraction form
    691.52/1,035.48 = 402.80/x
  3. Step 3: Cross multiply
    691.52x = 1,035.48 × 402.80
  4. Step 4: Simplify right side
    691.52x = 417,091.34
  5. Step 5: Solve for x
    x = 417,091.34/691.52
  6. Step 6: Final answer
    x = 603.15

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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.