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Finding the Fourth Proportional to 1,506.97, 2,258.96 and 726.75

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Solution

The fourth proportional to 1,506.97, 2,258.96 and 726.75 is: 1,089.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.97 : 2,258.96 = 726.75 : x
  2. Step 2: Convert to fraction form
    1,506.97/2,258.96 = 726.75/x
  3. Step 3: Cross multiply
    1,506.97x = 2,258.96 × 726.75
  4. Step 4: Simplify right side
    1,506.97x = 1,641,695.55
  5. Step 5: Solve for x
    x = 1,641,695.55/1,506.97
  6. Step 6: Final answer
    x = 1,089.40

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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.