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Finding the Fourth Proportional to 1,456.70, 2,010.25 and 793.55

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Solution

The fourth proportional to 1,456.70, 2,010.25 and 793.55 is: 1,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.70 : 2,010.25 = 793.55 : x
  2. Step 2: Convert to fraction form
    1,456.70/2,010.25 = 793.55/x
  3. Step 3: Cross multiply
    1,456.70x = 2,010.25 × 793.55
  4. Step 4: Simplify right side
    1,456.70x = 1,595,233.89
  5. Step 5: Solve for x
    x = 1,595,233.89/1,456.70
  6. Step 6: Final answer
    x = 1,095.10

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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.