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Finding the Fourth Proportional to 1,398.81, 2,098.16 and 358.82

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Solution

The fourth proportional to 1,398.81, 2,098.16 and 358.82 is: 538.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.81 : 2,098.16 = 358.82 : x
  2. Step 2: Convert to fraction form
    1,398.81/2,098.16 = 358.82/x
  3. Step 3: Cross multiply
    1,398.81x = 2,098.16 × 358.82
  4. Step 4: Simplify right side
    1,398.81x = 752,860.05
  5. Step 5: Solve for x
    x = 752,860.05/1,398.81
  6. Step 6: Final answer
    x = 538.21

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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.