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Finding the Fourth Proportional to 1,224.09, 1,689.16 and 700.12

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Solution

The fourth proportional to 1,224.09, 1,689.16 and 700.12 is: 966.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.09 : 1,689.16 = 700.12 : x
  2. Step 2: Convert to fraction form
    1,224.09/1,689.16 = 700.12/x
  3. Step 3: Cross multiply
    1,224.09x = 1,689.16 × 700.12
  4. Step 4: Simplify right side
    1,224.09x = 1,182,614.70
  5. Step 5: Solve for x
    x = 1,182,614.70/1,224.09
  6. Step 6: Final answer
    x = 966.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.