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Finding the Fourth Proportional to 1,255.24, 1,731.68 and 730.96

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Solution

The fourth proportional to 1,255.24, 1,731.68 and 730.96 is: 1,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.24 : 1,731.68 = 730.96 : x
  2. Step 2: Convert to fraction form
    1,255.24/1,731.68 = 730.96/x
  3. Step 3: Cross multiply
    1,255.24x = 1,731.68 × 730.96
  4. Step 4: Simplify right side
    1,255.24x = 1,265,788.81
  5. Step 5: Solve for x
    x = 1,265,788.81/1,255.24
  6. Step 6: Final answer
    x = 1,008.40

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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.