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Finding the Fourth Proportional to 884.78, 1,220.71 and 632.50

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Solution

The fourth proportional to 884.78, 1,220.71 and 632.50 is: 872.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.78 : 1,220.71 = 632.50 : x
  2. Step 2: Convert to fraction form
    884.78/1,220.71 = 632.50/x
  3. Step 3: Cross multiply
    884.78x = 1,220.71 × 632.50
  4. Step 4: Simplify right side
    884.78x = 772,094.44
  5. Step 5: Solve for x
    x = 772,094.44/884.78
  6. Step 6: Final answer
    x = 872.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.