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Finding the Fourth Proportional to 1,117.26, 1,541.93 and 675.15

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Solution

The fourth proportional to 1,117.26, 1,541.93 and 675.15 is: 931.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.26 : 1,541.93 = 675.15 : x
  2. Step 2: Convert to fraction form
    1,117.26/1,541.93 = 675.15/x
  3. Step 3: Cross multiply
    1,117.26x = 1,541.93 × 675.15
  4. Step 4: Simplify right side
    1,117.26x = 1,041,035.73
  5. Step 5: Solve for x
    x = 1,041,035.73/1,117.26
  6. Step 6: Final answer
    x = 931.78

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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.