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Finding the Fourth Proportional to 787.95, 1,181.06 and 495.67

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Solution

The fourth proportional to 787.95, 1,181.06 and 495.67 is: 742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.95 : 1,181.06 = 495.67 : x
  2. Step 2: Convert to fraction form
    787.95/1,181.06 = 495.67/x
  3. Step 3: Cross multiply
    787.95x = 1,181.06 × 495.67
  4. Step 4: Simplify right side
    787.95x = 585,413.26
  5. Step 5: Solve for x
    x = 585,413.26/787.95
  6. Step 6: Final answer
    x = 742.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.