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Finding the Fourth Proportional to 1,332.02, 1,838.28 and 742.73

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Solution

The fourth proportional to 1,332.02, 1,838.28 and 742.73 is: 1,025.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.02 : 1,838.28 = 742.73 : x
  2. Step 2: Convert to fraction form
    1,332.02/1,838.28 = 742.73/x
  3. Step 3: Cross multiply
    1,332.02x = 1,838.28 × 742.73
  4. Step 4: Simplify right side
    1,332.02x = 1,365,345.70
  5. Step 5: Solve for x
    x = 1,365,345.70/1,332.02
  6. Step 6: Final answer
    x = 1,025.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.