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Finding the Fourth Proportional to 699.62, 1,047.67 and 467.85

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Solution

The fourth proportional to 699.62, 1,047.67 and 467.85 is: 700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.62 : 1,047.67 = 467.85 : x
  2. Step 2: Convert to fraction form
    699.62/1,047.67 = 467.85/x
  3. Step 3: Cross multiply
    699.62x = 1,047.67 × 467.85
  4. Step 4: Simplify right side
    699.62x = 490,155.17
  5. Step 5: Solve for x
    x = 490,155.17/699.62
  6. Step 6: Final answer
    x = 700.61

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