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Finding the Fourth Proportional to 726.24, 1,088.64 and 401.76

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Solution

The fourth proportional to 726.24, 1,088.64 and 401.76 is: 602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.24 : 1,088.64 = 401.76 : x
  2. Step 2: Convert to fraction form
    726.24/1,088.64 = 401.76/x
  3. Step 3: Cross multiply
    726.24x = 1,088.64 × 401.76
  4. Step 4: Simplify right side
    726.24x = 437,372.01
  5. Step 5: Solve for x
    x = 437,372.01/726.24
  6. Step 6: Final answer
    x = 602.24

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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.