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Finding the Fourth Proportional to 765.60, 1,056.53 and 416.29

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Solution

The fourth proportional to 765.60, 1,056.53 and 416.29 is: 574.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.60 : 1,056.53 = 416.29 : x
  2. Step 2: Convert to fraction form
    765.60/1,056.53 = 416.29/x
  3. Step 3: Cross multiply
    765.60x = 1,056.53 × 416.29
  4. Step 4: Simplify right side
    765.60x = 439,820.91
  5. Step 5: Solve for x
    x = 439,820.91/765.60
  6. Step 6: Final answer
    x = 574.48

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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.