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Finding the Fourth Proportional to 787.55, 1,182.53 and 423.05

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Solution

The fourth proportional to 787.55, 1,182.53 and 423.05 is: 635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.55 : 1,182.53 = 423.05 : x
  2. Step 2: Convert to fraction form
    787.55/1,182.53 = 423.05/x
  3. Step 3: Cross multiply
    787.55x = 1,182.53 × 423.05
  4. Step 4: Simplify right side
    787.55x = 500,261.29
  5. Step 5: Solve for x
    x = 500,261.29/787.55
  6. Step 6: Final answer
    x = 635.22

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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.