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Finding the Fourth Proportional to 748.68, 1,033.15 and 417.10

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Solution

The fourth proportional to 748.68, 1,033.15 and 417.10 is: 575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.68 : 1,033.15 = 417.10 : x
  2. Step 2: Convert to fraction form
    748.68/1,033.15 = 417.10/x
  3. Step 3: Cross multiply
    748.68x = 1,033.15 × 417.10
  4. Step 4: Simplify right side
    748.68x = 430,926.87
  5. Step 5: Solve for x
    x = 430,926.87/748.68
  6. Step 6: Final answer
    x = 575.58

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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.