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Finding the Fourth Proportional to 1,114.42, 1,538.54 and 741.92

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Solution

The fourth proportional to 1,114.42, 1,538.54 and 741.92 is: 1,024.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.42 : 1,538.54 = 741.92 : x
  2. Step 2: Convert to fraction form
    1,114.42/1,538.54 = 741.92/x
  3. Step 3: Cross multiply
    1,114.42x = 1,538.54 × 741.92
  4. Step 4: Simplify right side
    1,114.42x = 1,141,473.60
  5. Step 5: Solve for x
    x = 1,141,473.60/1,114.42
  6. Step 6: Final answer
    x = 1,024.28

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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.