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Finding the Fourth Proportional to 1,223.90, 1,689.10 and 699.83

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Solution

The fourth proportional to 1,223.90, 1,689.10 and 699.83 is: 965.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.90 : 1,689.10 = 699.83 : x
  2. Step 2: Convert to fraction form
    1,223.90/1,689.10 = 699.83/x
  3. Step 3: Cross multiply
    1,223.90x = 1,689.10 × 699.83
  4. Step 4: Simplify right side
    1,223.90x = 1,182,079.35
  5. Step 5: Solve for x
    x = 1,182,079.35/1,223.90
  6. Step 6: Final answer
    x = 965.83

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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.