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Finding the Fourth Proportional to 1,223.68, 1,688.64 and 726.37

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Solution

The fourth proportional to 1,223.68, 1,688.64 and 726.37 is: 1,002.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.68 : 1,688.64 = 726.37 : x
  2. Step 2: Convert to fraction form
    1,223.68/1,688.64 = 726.37/x
  3. Step 3: Cross multiply
    1,223.68x = 1,688.64 × 726.37
  4. Step 4: Simplify right side
    1,223.68x = 1,226,577.44
  5. Step 5: Solve for x
    x = 1,226,577.44/1,223.68
  6. Step 6: Final answer
    x = 1,002.37

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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.