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Finding the Fourth Proportional to 726.40, 1,088.54 and 360.46

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Solution

The fourth proportional to 726.40, 1,088.54 and 360.46 is: 540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.40 : 1,088.54 = 360.46 : x
  2. Step 2: Convert to fraction form
    726.40/1,088.54 = 360.46/x
  3. Step 3: Cross multiply
    726.40x = 1,088.54 × 360.46
  4. Step 4: Simplify right side
    726.40x = 392,372.98
  5. Step 5: Solve for x
    x = 392,372.98/726.40
  6. Step 6: Final answer
    x = 540.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.