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Finding the Fourth Proportional to 787.53, 1,086.84 and 438.24

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Solution

The fourth proportional to 787.53, 1,086.84 and 438.24 is: 604.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.53 : 1,086.84 = 438.24 : x
  2. Step 2: Convert to fraction form
    787.53/1,086.84 = 438.24/x
  3. Step 3: Cross multiply
    787.53x = 1,086.84 × 438.24
  4. Step 4: Simplify right side
    787.53x = 476,296.76
  5. Step 5: Solve for x
    x = 476,296.76/787.53
  6. Step 6: Final answer
    x = 604.80

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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.