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Finding the Fourth Proportional to 726.16, 1,002.16 and 415.68

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Solution

The fourth proportional to 726.16, 1,002.16 and 415.68 is: 573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.16 : 1,002.16 = 415.68 : x
  2. Step 2: Convert to fraction form
    726.16/1,002.16 = 415.68/x
  3. Step 3: Cross multiply
    726.16x = 1,002.16 × 415.68
  4. Step 4: Simplify right side
    726.16x = 416,577.87
  5. Step 5: Solve for x
    x = 416,577.87/726.16
  6. Step 6: Final answer
    x = 573.67

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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.