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Finding the Fourth Proportional to 1,095.47, 1,512.17 and 741.22

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Solution

The fourth proportional to 1,095.47, 1,512.17 and 741.22 is: 1,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.47 : 1,512.17 = 741.22 : x
  2. Step 2: Convert to fraction form
    1,095.47/1,512.17 = 741.22/x
  3. Step 3: Cross multiply
    1,095.47x = 1,512.17 × 741.22
  4. Step 4: Simplify right side
    1,095.47x = 1,120,848.72
  5. Step 5: Solve for x
    x = 1,120,848.72/1,095.47
  6. Step 6: Final answer
    x = 1,023.17

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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.