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Finding the Fourth Proportional to 765.82, 1,056.48 and 517.30

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Solution

The fourth proportional to 765.82, 1,056.48 and 517.30 is: 713.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.82 : 1,056.48 = 517.30 : x
  2. Step 2: Convert to fraction form
    765.82/1,056.48 = 517.30/x
  3. Step 3: Cross multiply
    765.82x = 1,056.48 × 517.30
  4. Step 4: Simplify right side
    765.82x = 546,517.10
  5. Step 5: Solve for x
    x = 546,517.10/765.82
  6. Step 6: Final answer
    x = 713.64

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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.