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Finding the Fourth Proportional to 728.22, 1,089.36 and 606.72

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Solution

The fourth proportional to 728.22, 1,089.36 and 606.72 is: 907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.22 : 1,089.36 = 606.72 : x
  2. Step 2: Convert to fraction form
    728.22/1,089.36 = 606.72/x
  3. Step 3: Cross multiply
    728.22x = 1,089.36 × 606.72
  4. Step 4: Simplify right side
    728.22x = 660,936.50
  5. Step 5: Solve for x
    x = 660,936.50/728.22
  6. Step 6: Final answer
    x = 907.61

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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.