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Finding the Fourth Proportional to 749.13, 1,033.77 and 417.56

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Solution

The fourth proportional to 749.13, 1,033.77 and 417.56 is: 576.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.13 : 1,033.77 = 417.56 : x
  2. Step 2: Convert to fraction form
    749.13/1,033.77 = 417.56/x
  3. Step 3: Cross multiply
    749.13x = 1,033.77 × 417.56
  4. Step 4: Simplify right side
    749.13x = 431,655.83
  5. Step 5: Solve for x
    x = 431,655.83/749.13
  6. Step 6: Final answer
    x = 576.21

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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.