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Finding the Fourth Proportional to 1,057.67, 1,459 and 742.80

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Solution

The fourth proportional to 1,057.67, 1,459 and 742.80 is: 1,024.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.67 : 1,459 = 742.80 : x
  2. Step 2: Convert to fraction form
    1,057.67/1,459 = 742.80/x
  3. Step 3: Cross multiply
    1,057.67x = 1,459 × 742.80
  4. Step 4: Simplify right side
    1,057.67x = 1,083,745.20
  5. Step 5: Solve for x
    x = 1,083,745.20/1,057.67
  6. Step 6: Final answer
    x = 1,024.65

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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.