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Finding the Fourth Proportional to 1,699.72, 2,549.37 and 467.23

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Solution

The fourth proportional to 1,699.72, 2,549.37 and 467.23 is: 700.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.72 : 2,549.37 = 467.23 : x
  2. Step 2: Convert to fraction form
    1,699.72/2,549.37 = 467.23/x
  3. Step 3: Cross multiply
    1,699.72x = 2,549.37 × 467.23
  4. Step 4: Simplify right side
    1,699.72x = 1,191,142.15
  5. Step 5: Solve for x
    x = 1,191,142.15/1,699.72
  6. Step 6: Final answer
    x = 700.79

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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.