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Finding the Fourth Proportional to 765.42, 1,056.30 and 470.85

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Solution

The fourth proportional to 765.42, 1,056.30 and 470.85 is: 649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.42 : 1,056.30 = 470.85 : x
  2. Step 2: Convert to fraction form
    765.42/1,056.30 = 470.85/x
  3. Step 3: Cross multiply
    765.42x = 1,056.30 × 470.85
  4. Step 4: Simplify right side
    765.42x = 497,358.86
  5. Step 5: Solve for x
    x = 497,358.86/765.42
  6. Step 6: Final answer
    x = 649.79

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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.