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Finding the Fourth Proportional to 938.04, 1,406.25 and 731.49

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Solution

The fourth proportional to 938.04, 1,406.25 and 731.49 is: 1,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.04 : 1,406.25 = 731.49 : x
  2. Step 2: Convert to fraction form
    938.04/1,406.25 = 731.49/x
  3. Step 3: Cross multiply
    938.04x = 1,406.25 × 731.49
  4. Step 4: Simplify right side
    938.04x = 1,028,657.81
  5. Step 5: Solve for x
    x = 1,028,657.81/938.04
  6. Step 6: Final answer
    x = 1,096.60

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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.