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Finding the Fourth Proportional to 1,398.52, 2,097.64 and 424.63

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Solution

The fourth proportional to 1,398.52, 2,097.64 and 424.63 is: 636.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.52 : 2,097.64 = 424.63 : x
  2. Step 2: Convert to fraction form
    1,398.52/2,097.64 = 424.63/x
  3. Step 3: Cross multiply
    1,398.52x = 2,097.64 × 424.63
  4. Step 4: Simplify right side
    1,398.52x = 890,720.87
  5. Step 5: Solve for x
    x = 890,720.87/1,398.52
  6. Step 6: Final answer
    x = 636.90

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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.