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Finding the Fourth Proportional to 921.68, 1,374.52 and 873.08

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Solution

The fourth proportional to 921.68, 1,374.52 and 873.08 is: 1,302.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.68 : 1,374.52 = 873.08 : x
  2. Step 2: Convert to fraction form
    921.68/1,374.52 = 873.08/x
  3. Step 3: Cross multiply
    921.68x = 1,374.52 × 873.08
  4. Step 4: Simplify right side
    921.68x = 1,200,065.92
  5. Step 5: Solve for x
    x = 1,200,065.92/921.68
  6. Step 6: Final answer
    x = 1,302.04

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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.