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Finding the Fourth Proportional to 699.38, 1,042.07 and 657.46

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Solution

The fourth proportional to 699.38, 1,042.07 and 657.46 is: 979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.38 : 1,042.07 = 657.46 : x
  2. Step 2: Convert to fraction form
    699.38/1,042.07 = 657.46/x
  3. Step 3: Cross multiply
    699.38x = 1,042.07 × 657.46
  4. Step 4: Simplify right side
    699.38x = 685,118.38
  5. Step 5: Solve for x
    x = 685,118.38/699.38
  6. Step 6: Final answer
    x = 979.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.