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Finding the Fourth Proportional to 749.16, 1,033.82 and 417.60

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Solution

The fourth proportional to 749.16, 1,033.82 and 417.60 is: 576.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.16 : 1,033.82 = 417.60 : x
  2. Step 2: Convert to fraction form
    749.16/1,033.82 = 417.60/x
  3. Step 3: Cross multiply
    749.16x = 1,033.82 × 417.60
  4. Step 4: Simplify right side
    749.16x = 431,724.28
  5. Step 5: Solve for x
    x = 431,724.28/749.16
  6. Step 6: Final answer
    x = 576.28

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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.