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Finding the Fourth Proportional to 726.51, 1,002.24 and 626.76

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Solution

The fourth proportional to 726.51, 1,002.24 and 626.76 is: 864.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.51 : 1,002.24 = 626.76 : x
  2. Step 2: Convert to fraction form
    726.51/1,002.24 = 626.76/x
  3. Step 3: Cross multiply
    726.51x = 1,002.24 × 626.76
  4. Step 4: Simplify right side
    726.51x = 628,163.94
  5. Step 5: Solve for x
    x = 628,163.94/726.51
  6. Step 6: Final answer
    x = 864.63

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Double scale
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1.5x scale

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.