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Finding the Fourth Proportional to 731.26, 1,009.25 and 420.74

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Solution

The fourth proportional to 731.26, 1,009.25 and 420.74 is: 580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.26 : 1,009.25 = 420.74 : x
  2. Step 2: Convert to fraction form
    731.26/1,009.25 = 420.74/x
  3. Step 3: Cross multiply
    731.26x = 1,009.25 × 420.74
  4. Step 4: Simplify right side
    731.26x = 424,631.85
  5. Step 5: Solve for x
    x = 424,631.85/731.26
  6. Step 6: Final answer
    x = 580.69

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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.