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Finding the Fourth Proportional to 1,223.32, 1,688.04 and 726.36

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Solution

The fourth proportional to 1,223.32, 1,688.04 and 726.36 is: 1,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.32 : 1,688.04 = 726.36 : x
  2. Step 2: Convert to fraction form
    1,223.32/1,688.04 = 726.36/x
  3. Step 3: Cross multiply
    1,223.32x = 1,688.04 × 726.36
  4. Step 4: Simplify right side
    1,223.32x = 1,226,124.73
  5. Step 5: Solve for x
    x = 1,226,124.73/1,223.32
  6. Step 6: Final answer
    x = 1,002.29

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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.