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Finding the Fourth Proportional to 1,148.59, 1,724.10 and 945.28

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Solution

The fourth proportional to 1,148.59, 1,724.10 and 945.28 is: 1,418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.59 : 1,724.10 = 945.28 : x
  2. Step 2: Convert to fraction form
    1,148.59/1,724.10 = 945.28/x
  3. Step 3: Cross multiply
    1,148.59x = 1,724.10 × 945.28
  4. Step 4: Simplify right side
    1,148.59x = 1,629,757.25
  5. Step 5: Solve for x
    x = 1,629,757.25/1,148.59
  6. Step 6: Final answer
    x = 1,418.92

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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.