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Finding the Fourth Proportional to 691.68, 1,036.08 and 402.96

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Solution

The fourth proportional to 691.68, 1,036.08 and 402.96 is: 603.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.68 : 1,036.08 = 402.96 : x
  2. Step 2: Convert to fraction form
    691.68/1,036.08 = 402.96/x
  3. Step 3: Cross multiply
    691.68x = 1,036.08 × 402.96
  4. Step 4: Simplify right side
    691.68x = 417,498.80
  5. Step 5: Solve for x
    x = 417,498.80/691.68
  6. Step 6: Final answer
    x = 603.60

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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.