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Finding the Fourth Proportional to 761.75, 1,142.91 and 248.75

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Solution

The fourth proportional to 761.75, 1,142.91 and 248.75 is: 373.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.75 : 1,142.91 = 248.75 : x
  2. Step 2: Convert to fraction form
    761.75/1,142.91 = 248.75/x
  3. Step 3: Cross multiply
    761.75x = 1,142.91 × 248.75
  4. Step 4: Simplify right side
    761.75x = 284,298.86
  5. Step 5: Solve for x
    x = 284,298.86/761.75
  6. Step 6: Final answer
    x = 373.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.