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Finding the Fourth Proportional to 765.98, 1,056.80 and 470.96

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Solution

The fourth proportional to 765.98, 1,056.80 and 470.96 is: 649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.98 : 1,056.80 = 470.96 : x
  2. Step 2: Convert to fraction form
    765.98/1,056.80 = 470.96/x
  3. Step 3: Cross multiply
    765.98x = 1,056.80 × 470.96
  4. Step 4: Simplify right side
    765.98x = 497,710.53
  5. Step 5: Solve for x
    x = 497,710.53/765.98
  6. Step 6: Final answer
    x = 649.77

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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.