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Finding the Fourth Proportional to 696.88, 1,046.92 and 599.68

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Solution

The fourth proportional to 696.88, 1,046.92 and 599.68 is: 900.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.88 : 1,046.92 = 599.68 : x
  2. Step 2: Convert to fraction form
    696.88/1,046.92 = 599.68/x
  3. Step 3: Cross multiply
    696.88x = 1,046.92 × 599.68
  4. Step 4: Simplify right side
    696.88x = 627,816.99
  5. Step 5: Solve for x
    x = 627,816.99/696.88
  6. Step 6: Final answer
    x = 900.90

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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.