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Finding the Fourth Proportional to 1,257.32, 1,886.13 and 997.31

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Solution

The fourth proportional to 1,257.32, 1,886.13 and 997.31 is: 1,496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.32 : 1,886.13 = 997.31 : x
  2. Step 2: Convert to fraction form
    1,257.32/1,886.13 = 997.31/x
  3. Step 3: Cross multiply
    1,257.32x = 1,886.13 × 997.31
  4. Step 4: Simplify right side
    1,257.32x = 1,881,061.03
  5. Step 5: Solve for x
    x = 1,881,061.03/1,257.32
  6. Step 6: Final answer
    x = 1,496.08

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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.