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Finding the Fourth Proportional to 749.78, 1,034.02 and 470.04

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Solution

The fourth proportional to 749.78, 1,034.02 and 470.04 is: 648.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.78 : 1,034.02 = 470.04 : x
  2. Step 2: Convert to fraction form
    749.78/1,034.02 = 470.04/x
  3. Step 3: Cross multiply
    749.78x = 1,034.02 × 470.04
  4. Step 4: Simplify right side
    749.78x = 486,029.59
  5. Step 5: Solve for x
    x = 486,029.59/749.78
  6. Step 6: Final answer
    x = 648.23

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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.