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Finding the Fourth Proportional to 749.83, 1,034.89 and 553.91

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Solution

The fourth proportional to 749.83, 1,034.89 and 553.91 is: 764.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.83 : 1,034.89 = 553.91 : x
  2. Step 2: Convert to fraction form
    749.83/1,034.89 = 553.91/x
  3. Step 3: Cross multiply
    749.83x = 1,034.89 × 553.91
  4. Step 4: Simplify right side
    749.83x = 573,235.92
  5. Step 5: Solve for x
    x = 573,235.92/749.83
  6. Step 6: Final answer
    x = 764.49

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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.