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Finding the Fourth Proportional to 1,160.61, 1,601.49 and 740.22

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Solution

The fourth proportional to 1,160.61, 1,601.49 and 740.22 is: 1,021.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.61 : 1,601.49 = 740.22 : x
  2. Step 2: Convert to fraction form
    1,160.61/1,601.49 = 740.22/x
  3. Step 3: Cross multiply
    1,160.61x = 1,601.49 × 740.22
  4. Step 4: Simplify right side
    1,160.61x = 1,185,454.93
  5. Step 5: Solve for x
    x = 1,185,454.93/1,160.61
  6. Step 6: Final answer
    x = 1,021.41

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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.