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Finding the Fourth Proportional to 765.64, 1,056.54 and 470.80

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Solution

The fourth proportional to 765.64, 1,056.54 and 470.80 is: 649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.64 : 1,056.54 = 470.80 : x
  2. Step 2: Convert to fraction form
    765.64/1,056.54 = 470.80/x
  3. Step 3: Cross multiply
    765.64x = 1,056.54 × 470.80
  4. Step 4: Simplify right side
    765.64x = 497,419.03
  5. Step 5: Solve for x
    x = 497,419.03/765.64
  6. Step 6: Final answer
    x = 649.68

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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.