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Finding the Fourth Proportional to 997.96, 1,377.36 and 761.52

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Solution

The fourth proportional to 997.96, 1,377.36 and 761.52 is: 1,051.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.96 : 1,377.36 = 761.52 : x
  2. Step 2: Convert to fraction form
    997.96/1,377.36 = 761.52/x
  3. Step 3: Cross multiply
    997.96x = 1,377.36 × 761.52
  4. Step 4: Simplify right side
    997.96x = 1,048,887.19
  5. Step 5: Solve for x
    x = 1,048,887.19/997.96
  6. Step 6: Final answer
    x = 1,051.03

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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.