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Finding the Fourth Proportional to 886.52, 1,224.87 and 701.93

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Solution

The fourth proportional to 886.52, 1,224.87 and 701.93 is: 969.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.52 : 1,224.87 = 701.93 : x
  2. Step 2: Convert to fraction form
    886.52/1,224.87 = 701.93/x
  3. Step 3: Cross multiply
    886.52x = 1,224.87 × 701.93
  4. Step 4: Simplify right side
    886.52x = 859,773.00
  5. Step 5: Solve for x
    x = 859,773.00/886.52
  6. Step 6: Final answer
    x = 969.83

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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.