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Finding the Fourth Proportional to 674.24, 1,010.75 and 468.90

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Solution

The fourth proportional to 674.24, 1,010.75 and 468.90 is: 702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.24 : 1,010.75 = 468.90 : x
  2. Step 2: Convert to fraction form
    674.24/1,010.75 = 468.90/x
  3. Step 3: Cross multiply
    674.24x = 1,010.75 × 468.90
  4. Step 4: Simplify right side
    674.24x = 473,938.33
  5. Step 5: Solve for x
    x = 473,938.33/674.24
  6. Step 6: Final answer
    x = 702.93

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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.