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Finding the Fourth Proportional to 1,116.52, 1,541.10 and 723.58

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Solution

The fourth proportional to 1,116.52, 1,541.10 and 723.58 is: 998.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.52 : 1,541.10 = 723.58 : x
  2. Step 2: Convert to fraction form
    1,116.52/1,541.10 = 723.58/x
  3. Step 3: Cross multiply
    1,116.52x = 1,541.10 × 723.58
  4. Step 4: Simplify right side
    1,116.52x = 1,115,109.14
  5. Step 5: Solve for x
    x = 1,115,109.14/1,116.52
  6. Step 6: Final answer
    x = 998.74

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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.