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Finding the Fourth Proportional to 693.16, 1,042.14 and 648.04

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Solution

The fourth proportional to 693.16, 1,042.14 and 648.04 is: 974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.16 : 1,042.14 = 648.04 : x
  2. Step 2: Convert to fraction form
    693.16/1,042.14 = 648.04/x
  3. Step 3: Cross multiply
    693.16x = 1,042.14 × 648.04
  4. Step 4: Simplify right side
    693.16x = 675,348.41
  5. Step 5: Solve for x
    x = 675,348.41/693.16
  6. Step 6: Final answer
    x = 974.30

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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.