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Finding the Fourth Proportional to 691.20, 952.08 and 566.40

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Solution

The fourth proportional to 691.20, 952.08 and 566.40 is: 780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.20 : 952.08 = 566.40 : x
  2. Step 2: Convert to fraction form
    691.20/952.08 = 566.40/x
  3. Step 3: Cross multiply
    691.20x = 952.08 × 566.40
  4. Step 4: Simplify right side
    691.20x = 539,258.11
  5. Step 5: Solve for x
    x = 539,258.11/691.20
  6. Step 6: Final answer
    x = 780.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.