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Finding the Fourth Proportional to 750.13, 1,034.88 and 470.27

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Solution

The fourth proportional to 750.13, 1,034.88 and 470.27 is: 648.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.13 : 1,034.88 = 470.27 : x
  2. Step 2: Convert to fraction form
    750.13/1,034.88 = 470.27/x
  3. Step 3: Cross multiply
    750.13x = 1,034.88 × 470.27
  4. Step 4: Simplify right side
    750.13x = 486,673.84
  5. Step 5: Solve for x
    x = 486,673.84/750.13
  6. Step 6: Final answer
    x = 648.79

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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.