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Finding the Fourth Proportional to 1,289.57, 1,934.55 and 741.42

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Solution

The fourth proportional to 1,289.57, 1,934.55 and 741.42 is: 1,112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.57 : 1,934.55 = 741.42 : x
  2. Step 2: Convert to fraction form
    1,289.57/1,934.55 = 741.42/x
  3. Step 3: Cross multiply
    1,289.57x = 1,934.55 × 741.42
  4. Step 4: Simplify right side
    1,289.57x = 1,434,314.06
  5. Step 5: Solve for x
    x = 1,434,314.06/1,289.57
  6. Step 6: Final answer
    x = 1,112.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.