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Finding the Fourth Proportional to 1,223.71, 1,688.43 and 699.46

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Solution

The fourth proportional to 1,223.71, 1,688.43 and 699.46 is: 965.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.71 : 1,688.43 = 699.46 : x
  2. Step 2: Convert to fraction form
    1,223.71/1,688.43 = 699.46/x
  3. Step 3: Cross multiply
    1,223.71x = 1,688.43 × 699.46
  4. Step 4: Simplify right side
    1,223.71x = 1,180,989.25
  5. Step 5: Solve for x
    x = 1,180,989.25/1,223.71
  6. Step 6: Final answer
    x = 965.09

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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.