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Finding the Fourth Proportional to 1,117.18, 1,543.17 and 856.54

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Solution

The fourth proportional to 1,117.18, 1,543.17 and 856.54 is: 1,183.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.18 : 1,543.17 = 856.54 : x
  2. Step 2: Convert to fraction form
    1,117.18/1,543.17 = 856.54/x
  3. Step 3: Cross multiply
    1,117.18x = 1,543.17 × 856.54
  4. Step 4: Simplify right side
    1,117.18x = 1,321,786.83
  5. Step 5: Solve for x
    x = 1,321,786.83/1,117.18
  6. Step 6: Final answer
    x = 1,183.15

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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.