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Finding the Fourth Proportional to 1,285.23, 1,928.25 and 915.87

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Solution

The fourth proportional to 1,285.23, 1,928.25 and 915.87 is: 1,374.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.23 : 1,928.25 = 915.87 : x
  2. Step 2: Convert to fraction form
    1,285.23/1,928.25 = 915.87/x
  3. Step 3: Cross multiply
    1,285.23x = 1,928.25 × 915.87
  4. Step 4: Simplify right side
    1,285.23x = 1,766,026.33
  5. Step 5: Solve for x
    x = 1,766,026.33/1,285.23
  6. Step 6: Final answer
    x = 1,374.09

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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.