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Finding the Fourth Proportional to 900, 1,240.92 and 713.76

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Solution

The fourth proportional to 900, 1,240.92 and 713.76 is: 984.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    900 : 1,240.92 = 713.76 : x
  2. Step 2: Convert to fraction form
    900/1,240.92 = 713.76/x
  3. Step 3: Cross multiply
    900x = 1,240.92 × 713.76
  4. Step 4: Simplify right side
    900x = 885,719.06
  5. Step 5: Solve for x
    x = 885,719.06/900
  6. Step 6: Final answer
    x = 984.13

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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.