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Finding the Fourth Proportional to 1,265.92, 1,749.76 and 1,062.40

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Solution

The fourth proportional to 1,265.92, 1,749.76 and 1,062.40 is: 1,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.92 : 1,749.76 = 1,062.40 : x
  2. Step 2: Convert to fraction form
    1,265.92/1,749.76 = 1,062.40/x
  3. Step 3: Cross multiply
    1,265.92x = 1,749.76 × 1,062.40
  4. Step 4: Simplify right side
    1,265.92x = 1,858,945.02
  5. Step 5: Solve for x
    x = 1,858,945.02/1,265.92
  6. Step 6: Final answer
    x = 1,468.45

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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.