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Finding the Fourth Proportional to 923.31, 1,374.80 and 916.83

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Solution

The fourth proportional to 923.31, 1,374.80 and 916.83 is: 1,365.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.31 : 1,374.80 = 916.83 : x
  2. Step 2: Convert to fraction form
    923.31/1,374.80 = 916.83/x
  3. Step 3: Cross multiply
    923.31x = 1,374.80 × 916.83
  4. Step 4: Simplify right side
    923.31x = 1,260,453.30
  5. Step 5: Solve for x
    x = 1,260,453.30/923.31
  6. Step 6: Final answer
    x = 1,365.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.