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Finding the Fourth Proportional to 922.52, 1,384.08 and 615.58

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Solution

The fourth proportional to 922.52, 1,384.08 and 615.58 is: 923.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.52 : 1,384.08 = 615.58 : x
  2. Step 2: Convert to fraction form
    922.52/1,384.08 = 615.58/x
  3. Step 3: Cross multiply
    922.52x = 1,384.08 × 615.58
  4. Step 4: Simplify right side
    922.52x = 852,005.05
  5. Step 5: Solve for x
    x = 852,005.05/922.52
  6. Step 6: Final answer
    x = 923.56

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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.