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Finding the Fourth Proportional to 749.35, 1,034.06 and 417.81

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Solution

The fourth proportional to 749.35, 1,034.06 and 417.81 is: 576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.35 : 1,034.06 = 417.81 : x
  2. Step 2: Convert to fraction form
    749.35/1,034.06 = 417.81/x
  3. Step 3: Cross multiply
    749.35x = 1,034.06 × 417.81
  4. Step 4: Simplify right side
    749.35x = 432,035.44
  5. Step 5: Solve for x
    x = 432,035.44/749.35
  6. Step 6: Final answer
    x = 576.55

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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.