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Finding the Fourth Proportional to 1,132.42, 1,696.77 and 741.52

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Solution

The fourth proportional to 1,132.42, 1,696.77 and 741.52 is: 1,111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.42 : 1,696.77 = 741.52 : x
  2. Step 2: Convert to fraction form
    1,132.42/1,696.77 = 741.52/x
  3. Step 3: Cross multiply
    1,132.42x = 1,696.77 × 741.52
  4. Step 4: Simplify right side
    1,132.42x = 1,258,188.89
  5. Step 5: Solve for x
    x = 1,258,188.89/1,132.42
  6. Step 6: Final answer
    x = 1,111.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.