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Finding the Fourth Proportional to 1,020.60, 1,408.05 and 754.38

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Solution

The fourth proportional to 1,020.60, 1,408.05 and 754.38 is: 1,040.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.60 : 1,408.05 = 754.38 : x
  2. Step 2: Convert to fraction form
    1,020.60/1,408.05 = 754.38/x
  3. Step 3: Cross multiply
    1,020.60x = 1,408.05 × 754.38
  4. Step 4: Simplify right side
    1,020.60x = 1,062,204.76
  5. Step 5: Solve for x
    x = 1,062,204.76/1,020.60
  6. Step 6: Final answer
    x = 1,040.77

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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.