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Finding the Fourth Proportional to 1,398.52, 2,097.54 and 411.10

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Solution

The fourth proportional to 1,398.52, 2,097.54 and 411.10 is: 616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.52 : 2,097.54 = 411.10 : x
  2. Step 2: Convert to fraction form
    1,398.52/2,097.54 = 411.10/x
  3. Step 3: Cross multiply
    1,398.52x = 2,097.54 × 411.10
  4. Step 4: Simplify right side
    1,398.52x = 862,298.69
  5. Step 5: Solve for x
    x = 862,298.69/1,398.52
  6. Step 6: Final answer
    x = 616.58

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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.