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Finding the Fourth Proportional to 726.69, 1,002.93 and 474.54

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Solution

The fourth proportional to 726.69, 1,002.93 and 474.54 is: 654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.69 : 1,002.93 = 474.54 : x
  2. Step 2: Convert to fraction form
    726.69/1,002.93 = 474.54/x
  3. Step 3: Cross multiply
    726.69x = 1,002.93 × 474.54
  4. Step 4: Simplify right side
    726.69x = 475,930.40
  5. Step 5: Solve for x
    x = 475,930.40/726.69
  6. Step 6: Final answer
    x = 654.93

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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.