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Finding the Fourth Proportional to 731.38, 1,009.67 and 420.82

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Solution

The fourth proportional to 731.38, 1,009.67 and 420.82 is: 580.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.38 : 1,009.67 = 420.82 : x
  2. Step 2: Convert to fraction form
    731.38/1,009.67 = 420.82/x
  3. Step 3: Cross multiply
    731.38x = 1,009.67 × 420.82
  4. Step 4: Simplify right side
    731.38x = 424,889.33
  5. Step 5: Solve for x
    x = 424,889.33/731.38
  6. Step 6: Final answer
    x = 580.94

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1.5x scale

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.