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Finding the Fourth Proportional to 1,308.02, 1,805.05 and 748.46

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Solution

The fourth proportional to 1,308.02, 1,805.05 and 748.46 is: 1,032.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.02 : 1,805.05 = 748.46 : x
  2. Step 2: Convert to fraction form
    1,308.02/1,805.05 = 748.46/x
  3. Step 3: Cross multiply
    1,308.02x = 1,805.05 × 748.46
  4. Step 4: Simplify right side
    1,308.02x = 1,351,003.02
  5. Step 5: Solve for x
    x = 1,351,003.02/1,308.02
  6. Step 6: Final answer
    x = 1,032.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.