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Finding the Fourth Proportional to 1,699.85, 2,549.77 and 467.26

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Solution

The fourth proportional to 1,699.85, 2,549.77 and 467.26 is: 700.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.85 : 2,549.77 = 467.26 : x
  2. Step 2: Convert to fraction form
    1,699.85/2,549.77 = 467.26/x
  3. Step 3: Cross multiply
    1,699.85x = 2,549.77 × 467.26
  4. Step 4: Simplify right side
    1,699.85x = 1,191,397.99
  5. Step 5: Solve for x
    x = 1,191,397.99/1,699.85
  6. Step 6: Final answer
    x = 700.88

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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.