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Finding the Fourth Proportional to 749.37, 1,034.02 and 417.80

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Solution

The fourth proportional to 749.37, 1,034.02 and 417.80 is: 576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.37 : 1,034.02 = 417.80 : x
  2. Step 2: Convert to fraction form
    749.37/1,034.02 = 417.80/x
  3. Step 3: Cross multiply
    749.37x = 1,034.02 × 417.80
  4. Step 4: Simplify right side
    749.37x = 432,013.56
  5. Step 5: Solve for x
    x = 432,013.56/749.37
  6. Step 6: Final answer
    x = 576.50

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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.