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Finding the Fourth Proportional to 1,250.04, 1,725.20 and 726.06

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Solution

The fourth proportional to 1,250.04, 1,725.20 and 726.06 is: 1,002.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.04 : 1,725.20 = 726.06 : x
  2. Step 2: Convert to fraction form
    1,250.04/1,725.20 = 726.06/x
  3. Step 3: Cross multiply
    1,250.04x = 1,725.20 × 726.06
  4. Step 4: Simplify right side
    1,250.04x = 1,252,598.71
  5. Step 5: Solve for x
    x = 1,252,598.71/1,250.04
  6. Step 6: Final answer
    x = 1,002.05

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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.