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Finding the Fourth Proportional to 1,398.46, 2,097.55 and 424.57

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Solution

The fourth proportional to 1,398.46, 2,097.55 and 424.57 is: 636.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.46 : 2,097.55 = 424.57 : x
  2. Step 2: Convert to fraction form
    1,398.46/2,097.55 = 424.57/x
  3. Step 3: Cross multiply
    1,398.46x = 2,097.55 × 424.57
  4. Step 4: Simplify right side
    1,398.46x = 890,552.09
  5. Step 5: Solve for x
    x = 890,552.09/1,398.46
  6. Step 6: Final answer
    x = 636.81

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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.