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Finding the Fourth Proportional to 1,114.87, 1,538.77 and 741.86

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Solution

The fourth proportional to 1,114.87, 1,538.77 and 741.86 is: 1,023.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.87 : 1,538.77 = 741.86 : x
  2. Step 2: Convert to fraction form
    1,114.87/1,538.77 = 741.86/x
  3. Step 3: Cross multiply
    1,114.87x = 1,538.77 × 741.86
  4. Step 4: Simplify right side
    1,114.87x = 1,141,551.91
  5. Step 5: Solve for x
    x = 1,141,551.91/1,114.87
  6. Step 6: Final answer
    x = 1,023.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.