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Finding the Fourth Proportional to 765.76, 1,057.28 and 566.64

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Solution

The fourth proportional to 765.76, 1,057.28 and 566.64 is: 782.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.76 : 1,057.28 = 566.64 : x
  2. Step 2: Convert to fraction form
    765.76/1,057.28 = 566.64/x
  3. Step 3: Cross multiply
    765.76x = 1,057.28 × 566.64
  4. Step 4: Simplify right side
    765.76x = 599,097.14
  5. Step 5: Solve for x
    x = 599,097.14/765.76
  6. Step 6: Final answer
    x = 782.36

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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.