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Finding the Fourth Proportional to 750, 1,034.71 and 470.12

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Solution

The fourth proportional to 750, 1,034.71 and 470.12 is: 648.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    750 : 1,034.71 = 470.12 : x
  2. Step 2: Convert to fraction form
    750/1,034.71 = 470.12/x
  3. Step 3: Cross multiply
    750x = 1,034.71 × 470.12
  4. Step 4: Simplify right side
    750x = 486,437.87
  5. Step 5: Solve for x
    x = 486,437.87/750
  6. Step 6: Final answer
    x = 648.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.