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Finding the Fourth Proportional to 1,398.54, 2,097.51 and 576.60

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Solution

The fourth proportional to 1,398.54, 2,097.51 and 576.60 is: 864.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.54 : 2,097.51 = 576.60 : x
  2. Step 2: Convert to fraction form
    1,398.54/2,097.51 = 576.60/x
  3. Step 3: Cross multiply
    1,398.54x = 2,097.51 × 576.60
  4. Step 4: Simplify right side
    1,398.54x = 1,209,424.27
  5. Step 5: Solve for x
    x = 1,209,424.27/1,398.54
  6. Step 6: Final answer
    x = 864.78

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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.