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Finding the Fourth Proportional to 1,398.35, 2,097.53 and 424.46

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Solution

The fourth proportional to 1,398.35, 2,097.53 and 424.46 is: 636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.35 : 2,097.53 = 424.46 : x
  2. Step 2: Convert to fraction form
    1,398.35/2,097.53 = 424.46/x
  3. Step 3: Cross multiply
    1,398.35x = 2,097.53 × 424.46
  4. Step 4: Simplify right side
    1,398.35x = 890,304.97
  5. Step 5: Solve for x
    x = 890,304.97/1,398.35
  6. Step 6: Final answer
    x = 636.68

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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.