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Finding the Fourth Proportional to 1,141.06, 1,574.66 and 742.86

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Solution

The fourth proportional to 1,141.06, 1,574.66 and 742.86 is: 1,025.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.06 : 1,574.66 = 742.86 : x
  2. Step 2: Convert to fraction form
    1,141.06/1,574.66 = 742.86/x
  3. Step 3: Cross multiply
    1,141.06x = 1,574.66 × 742.86
  4. Step 4: Simplify right side
    1,141.06x = 1,169,751.93
  5. Step 5: Solve for x
    x = 1,169,751.93/1,141.06
  6. Step 6: Final answer
    x = 1,025.14

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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.