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Finding the Fourth Proportional to 726.51, 1,003.25 and 464.99

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Solution

The fourth proportional to 726.51, 1,003.25 and 464.99 is: 642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.51 : 1,003.25 = 464.99 : x
  2. Step 2: Convert to fraction form
    726.51/1,003.25 = 464.99/x
  3. Step 3: Cross multiply
    726.51x = 1,003.25 × 464.99
  4. Step 4: Simplify right side
    726.51x = 466,501.22
  5. Step 5: Solve for x
    x = 466,501.22/726.51
  6. Step 6: Final answer
    x = 642.11

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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.