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Finding the Fourth Proportional to 1,332.18, 1,838.43 and 742.77

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Solution

The fourth proportional to 1,332.18, 1,838.43 and 742.77 is: 1,025.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.18 : 1,838.43 = 742.77 : x
  2. Step 2: Convert to fraction form
    1,332.18/1,838.43 = 742.77/x
  3. Step 3: Cross multiply
    1,332.18x = 1,838.43 × 742.77
  4. Step 4: Simplify right side
    1,332.18x = 1,365,530.65
  5. Step 5: Solve for x
    x = 1,365,530.65/1,332.18
  6. Step 6: Final answer
    x = 1,025.03

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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.