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Finding the Fourth Proportional to 787.58, 1,180 and 688.98

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Solution

The fourth proportional to 787.58, 1,180 and 688.98 is: 1,032.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.58 : 1,180 = 688.98 : x
  2. Step 2: Convert to fraction form
    787.58/1,180 = 688.98/x
  3. Step 3: Cross multiply
    787.58x = 1,180 × 688.98
  4. Step 4: Simplify right side
    787.58x = 812,996.40
  5. Step 5: Solve for x
    x = 812,996.40/787.58
  6. Step 6: Final answer
    x = 1,032.27

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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.