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Finding the Fourth Proportional to 1,158.04, 1,736.52 and 610.48

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Solution

The fourth proportional to 1,158.04, 1,736.52 and 610.48 is: 915.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.04 : 1,736.52 = 610.48 : x
  2. Step 2: Convert to fraction form
    1,158.04/1,736.52 = 610.48/x
  3. Step 3: Cross multiply
    1,158.04x = 1,736.52 × 610.48
  4. Step 4: Simplify right side
    1,158.04x = 1,060,110.73
  5. Step 5: Solve for x
    x = 1,060,110.73/1,158.04
  6. Step 6: Final answer
    x = 915.44

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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.