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Finding the Fourth Proportional to 1,398.38, 2,097.57 and 576.59

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Solution

The fourth proportional to 1,398.38, 2,097.57 and 576.59 is: 864.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.38 : 2,097.57 = 576.59 : x
  2. Step 2: Convert to fraction form
    1,398.38/2,097.57 = 576.59/x
  3. Step 3: Cross multiply
    1,398.38x = 2,097.57 × 576.59
  4. Step 4: Simplify right side
    1,398.38x = 1,209,437.89
  5. Step 5: Solve for x
    x = 1,209,437.89/1,398.38
  6. Step 6: Final answer
    x = 864.89

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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.