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Finding the Fourth Proportional to 959.52, 1,324.20 and 566.64

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Solution

The fourth proportional to 959.52, 1,324.20 and 566.64 is: 782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.52 : 1,324.20 = 566.64 : x
  2. Step 2: Convert to fraction form
    959.52/1,324.20 = 566.64/x
  3. Step 3: Cross multiply
    959.52x = 1,324.20 × 566.64
  4. Step 4: Simplify right side
    959.52x = 750,344.69
  5. Step 5: Solve for x
    x = 750,344.69/959.52
  6. Step 6: Final answer
    x = 782.00

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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.