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Finding the Fourth Proportional to 761.95, 1,142.91 and 248.95

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Solution

The fourth proportional to 761.95, 1,142.91 and 248.95 is: 373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.95 : 1,142.91 = 248.95 : x
  2. Step 2: Convert to fraction form
    761.95/1,142.91 = 248.95/x
  3. Step 3: Cross multiply
    761.95x = 1,142.91 × 248.95
  4. Step 4: Simplify right side
    761.95x = 284,521.73
  5. Step 5: Solve for x
    x = 284,521.73/761.95
  6. Step 6: Final answer
    x = 373.42

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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.