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Finding the Fourth Proportional to 879.84, 1,317.60 and 663.84

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Solution

The fourth proportional to 879.84, 1,317.60 and 663.84 is: 994.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.84 : 1,317.60 = 663.84 : x
  2. Step 2: Convert to fraction form
    879.84/1,317.60 = 663.84/x
  3. Step 3: Cross multiply
    879.84x = 1,317.60 × 663.84
  4. Step 4: Simplify right side
    879.84x = 874,675.58
  5. Step 5: Solve for x
    x = 874,675.58/879.84
  6. Step 6: Final answer
    x = 994.13

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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.