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Finding the Fourth Proportional to 787.58, 1,182.03 and 696.50

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Solution

The fourth proportional to 787.58, 1,182.03 and 696.50 is: 1,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.58 : 1,182.03 = 696.50 : x
  2. Step 2: Convert to fraction form
    787.58/1,182.03 = 696.50/x
  3. Step 3: Cross multiply
    787.58x = 1,182.03 × 696.50
  4. Step 4: Simplify right side
    787.58x = 823,283.90
  5. Step 5: Solve for x
    x = 823,283.90/787.58
  6. Step 6: Final answer
    x = 1,045.33

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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.