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Finding the Fourth Proportional to 765.91, 1,056.96 and 416.59

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Solution

The fourth proportional to 765.91, 1,056.96 and 416.59 is: 574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.91 : 1,056.96 = 416.59 : x
  2. Step 2: Convert to fraction form
    765.91/1,056.96 = 416.59/x
  3. Step 3: Cross multiply
    765.91x = 1,056.96 × 416.59
  4. Step 4: Simplify right side
    765.91x = 440,318.97
  5. Step 5: Solve for x
    x = 440,318.97/765.91
  6. Step 6: Final answer
    x = 574.90

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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.