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Finding the Fourth Proportional to 749.41, 1,034.19 and 417.84

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Solution

The fourth proportional to 749.41, 1,034.19 and 417.84 is: 576.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.41 : 1,034.19 = 417.84 : x
  2. Step 2: Convert to fraction form
    749.41/1,034.19 = 417.84/x
  3. Step 3: Cross multiply
    749.41x = 1,034.19 × 417.84
  4. Step 4: Simplify right side
    749.41x = 432,118.69
  5. Step 5: Solve for x
    x = 432,118.69/749.41
  6. Step 6: Final answer
    x = 576.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.