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Finding the Fourth Proportional to 787.57, 1,180.90 and 462.25

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Solution

The fourth proportional to 787.57, 1,180.90 and 462.25 is: 693.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.57 : 1,180.90 = 462.25 : x
  2. Step 2: Convert to fraction form
    787.57/1,180.90 = 462.25/x
  3. Step 3: Cross multiply
    787.57x = 1,180.90 × 462.25
  4. Step 4: Simplify right side
    787.57x = 545,868.71
  5. Step 5: Solve for x
    x = 545,868.71/787.57
  6. Step 6: Final answer
    x = 693.11

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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.