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Finding the Fourth Proportional to 726.32, 1,002.06 and 477.77

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Solution

The fourth proportional to 726.32, 1,002.06 and 477.77 is: 659.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.32 : 1,002.06 = 477.77 : x
  2. Step 2: Convert to fraction form
    726.32/1,002.06 = 477.77/x
  3. Step 3: Cross multiply
    726.32x = 1,002.06 × 477.77
  4. Step 4: Simplify right side
    726.32x = 478,754.21
  5. Step 5: Solve for x
    x = 478,754.21/726.32
  6. Step 6: Final answer
    x = 659.15

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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.