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Finding the Fourth Proportional to 1,398.65, 2,098.29 and 474.15

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Solution

The fourth proportional to 1,398.65, 2,098.29 and 474.15 is: 711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.65 : 2,098.29 = 474.15 : x
  2. Step 2: Convert to fraction form
    1,398.65/2,098.29 = 474.15/x
  3. Step 3: Cross multiply
    1,398.65x = 2,098.29 × 474.15
  4. Step 4: Simplify right side
    1,398.65x = 994,904.20
  5. Step 5: Solve for x
    x = 994,904.20/1,398.65
  6. Step 6: Final answer
    x = 711.33

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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.