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Finding the Fourth Proportional to 876.24, 1,312.02 and 772.44

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Solution

The fourth proportional to 876.24, 1,312.02 and 772.44 is: 1,156.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.24 : 1,312.02 = 772.44 : x
  2. Step 2: Convert to fraction form
    876.24/1,312.02 = 772.44/x
  3. Step 3: Cross multiply
    876.24x = 1,312.02 × 772.44
  4. Step 4: Simplify right side
    876.24x = 1,013,456.73
  5. Step 5: Solve for x
    x = 1,013,456.73/876.24
  6. Step 6: Final answer
    x = 1,156.60

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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.