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Finding the Fourth Proportional to 726.06, 1,089.08 and 293.52

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Solution

The fourth proportional to 726.06, 1,089.08 and 293.52 is: 440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.06 : 1,089.08 = 293.52 : x
  2. Step 2: Convert to fraction form
    726.06/1,089.08 = 293.52/x
  3. Step 3: Cross multiply
    726.06x = 1,089.08 × 293.52
  4. Step 4: Simplify right side
    726.06x = 319,666.76
  5. Step 5: Solve for x
    x = 319,666.76/726.06
  6. Step 6: Final answer
    x = 440.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.