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Finding the Fourth Proportional to 884.76, 1,218.96 and 709.80

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Solution

The fourth proportional to 884.76, 1,218.96 and 709.80 is: 977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.76 : 1,218.96 = 709.80 : x
  2. Step 2: Convert to fraction form
    884.76/1,218.96 = 709.80/x
  3. Step 3: Cross multiply
    884.76x = 1,218.96 × 709.80
  4. Step 4: Simplify right side
    884.76x = 865,217.81
  5. Step 5: Solve for x
    x = 865,217.81/884.76
  6. Step 6: Final answer
    x = 977.91

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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.