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Finding the Fourth Proportional to 1,256.40, 1,734.14 and 725.34

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Solution

The fourth proportional to 1,256.40, 1,734.14 and 725.34 is: 1,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.40 : 1,734.14 = 725.34 : x
  2. Step 2: Convert to fraction form
    1,256.40/1,734.14 = 725.34/x
  3. Step 3: Cross multiply
    1,256.40x = 1,734.14 × 725.34
  4. Step 4: Simplify right side
    1,256.40x = 1,257,841.11
  5. Step 5: Solve for x
    x = 1,257,841.11/1,256.40
  6. Step 6: Final answer
    x = 1,001.15

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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.