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Finding the Fourth Proportional to 1,223.49, 1,688.42 and 726.16

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Solution

The fourth proportional to 1,223.49, 1,688.42 and 726.16 is: 1,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.49 : 1,688.42 = 726.16 : x
  2. Step 2: Convert to fraction form
    1,223.49/1,688.42 = 726.16/x
  3. Step 3: Cross multiply
    1,223.49x = 1,688.42 × 726.16
  4. Step 4: Simplify right side
    1,223.49x = 1,226,063.07
  5. Step 5: Solve for x
    x = 1,226,063.07/1,223.49
  6. Step 6: Final answer
    x = 1,002.10

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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.