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Finding the Fourth Proportional to 1,017.68, 1,524.48 and 469.10

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Solution

The fourth proportional to 1,017.68, 1,524.48 and 469.10 is: 702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.68 : 1,524.48 = 469.10 : x
  2. Step 2: Convert to fraction form
    1,017.68/1,524.48 = 469.10/x
  3. Step 3: Cross multiply
    1,017.68x = 1,524.48 × 469.10
  4. Step 4: Simplify right side
    1,017.68x = 715,133.57
  5. Step 5: Solve for x
    x = 715,133.57/1,017.68
  6. Step 6: Final answer
    x = 702.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.