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Finding the Fourth Proportional to 1,397.31, 2,095.82 and 423.19

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Solution

The fourth proportional to 1,397.31, 2,095.82 and 423.19 is: 634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.31 : 2,095.82 = 423.19 : x
  2. Step 2: Convert to fraction form
    1,397.31/2,095.82 = 423.19/x
  3. Step 3: Cross multiply
    1,397.31x = 2,095.82 × 423.19
  4. Step 4: Simplify right side
    1,397.31x = 886,930.07
  5. Step 5: Solve for x
    x = 886,930.07/1,397.31
  6. Step 6: Final answer
    x = 634.74

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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.