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Finding the Fourth Proportional to 884.78, 1,327.76 and 877.94

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Solution

The fourth proportional to 884.78, 1,327.76 and 877.94 is: 1,317.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.78 : 1,327.76 = 877.94 : x
  2. Step 2: Convert to fraction form
    884.78/1,327.76 = 877.94/x
  3. Step 3: Cross multiply
    884.78x = 1,327.76 × 877.94
  4. Step 4: Simplify right side
    884.78x = 1,165,693.61
  5. Step 5: Solve for x
    x = 1,165,693.61/884.78
  6. Step 6: Final answer
    x = 1,317.50

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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.