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Finding the Fourth Proportional to 1,397.54, 2,095.74 and 423.29

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Solution

The fourth proportional to 1,397.54, 2,095.74 and 423.29 is: 634.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.54 : 2,095.74 = 423.29 : x
  2. Step 2: Convert to fraction form
    1,397.54/2,095.74 = 423.29/x
  3. Step 3: Cross multiply
    1,397.54x = 2,095.74 × 423.29
  4. Step 4: Simplify right side
    1,397.54x = 887,095.31
  5. Step 5: Solve for x
    x = 887,095.31/1,397.54
  6. Step 6: Final answer
    x = 634.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.