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Finding the Fourth Proportional to 1,699.91, 2,549.85 and 467.33

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Solution

The fourth proportional to 1,699.91, 2,549.85 and 467.33 is: 700.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.91 : 2,549.85 = 467.33 : x
  2. Step 2: Convert to fraction form
    1,699.91/2,549.85 = 467.33/x
  3. Step 3: Cross multiply
    1,699.91x = 2,549.85 × 467.33
  4. Step 4: Simplify right side
    1,699.91x = 1,191,608.65
  5. Step 5: Solve for x
    x = 1,191,608.65/1,699.91
  6. Step 6: Final answer
    x = 700.99

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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.