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Finding the Fourth Proportional to 1,699.16, 2,549.10 and 659.52

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Solution

The fourth proportional to 1,699.16, 2,549.10 and 659.52 is: 989.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.16 : 2,549.10 = 659.52 : x
  2. Step 2: Convert to fraction form
    1,699.16/2,549.10 = 659.52/x
  3. Step 3: Cross multiply
    1,699.16x = 2,549.10 × 659.52
  4. Step 4: Simplify right side
    1,699.16x = 1,681,182.43
  5. Step 5: Solve for x
    x = 1,681,182.43/1,699.16
  6. Step 6: Final answer
    x = 989.42

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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.