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Finding the Fourth Proportional to 749.55, 1,034.10 and 454.71

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Solution

The fourth proportional to 749.55, 1,034.10 and 454.71 is: 627.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.55 : 1,034.10 = 454.71 : x
  2. Step 2: Convert to fraction form
    749.55/1,034.10 = 454.71/x
  3. Step 3: Cross multiply
    749.55x = 1,034.10 × 454.71
  4. Step 4: Simplify right side
    749.55x = 470,215.61
  5. Step 5: Solve for x
    x = 470,215.61/749.55
  6. Step 6: Final answer
    x = 627.33

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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.