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Finding the Fourth Proportional to 1,237.92, 1,708.32 and 740.53

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Solution

The fourth proportional to 1,237.92, 1,708.32 and 740.53 is: 1,021.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.92 : 1,708.32 = 740.53 : x
  2. Step 2: Convert to fraction form
    1,237.92/1,708.32 = 740.53/x
  3. Step 3: Cross multiply
    1,237.92x = 1,708.32 × 740.53
  4. Step 4: Simplify right side
    1,237.92x = 1,265,062.21
  5. Step 5: Solve for x
    x = 1,265,062.21/1,237.92
  6. Step 6: Final answer
    x = 1,021.93

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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.