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Finding the Fourth Proportional to 787.95, 1,180.96 and 348.73

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Solution

The fourth proportional to 787.95, 1,180.96 and 348.73 is: 522.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.95 : 1,180.96 = 348.73 : x
  2. Step 2: Convert to fraction form
    787.95/1,180.96 = 348.73/x
  3. Step 3: Cross multiply
    787.95x = 1,180.96 × 348.73
  4. Step 4: Simplify right side
    787.95x = 411,836.18
  5. Step 5: Solve for x
    x = 411,836.18/787.95
  6. Step 6: Final answer
    x = 522.67

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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.