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Finding the Fourth Proportional to 1,223.50, 1,688.02 and 726.30

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Solution

The fourth proportional to 1,223.50, 1,688.02 and 726.30 is: 1,002.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.50 : 1,688.02 = 726.30 : x
  2. Step 2: Convert to fraction form
    1,223.50/1,688.02 = 726.30/x
  3. Step 3: Cross multiply
    1,223.50x = 1,688.02 × 726.30
  4. Step 4: Simplify right side
    1,223.50x = 1,226,008.93
  5. Step 5: Solve for x
    x = 1,226,008.93/1,223.50
  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.