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Finding the Fourth Proportional to 761.78, 1,142.64 and 248.78

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Solution

The fourth proportional to 761.78, 1,142.64 and 248.78 is: 373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.78 : 1,142.64 = 248.78 : x
  2. Step 2: Convert to fraction form
    761.78/1,142.64 = 248.78/x
  3. Step 3: Cross multiply
    761.78x = 1,142.64 × 248.78
  4. Step 4: Simplify right side
    761.78x = 284,265.98
  5. Step 5: Solve for x
    x = 284,265.98/761.78
  6. Step 6: Final answer
    x = 373.16

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