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Finding the Fourth Proportional to 1,223.56, 1,688.51 and 699.59

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Solution

The fourth proportional to 1,223.56, 1,688.51 and 699.59 is: 965.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.56 : 1,688.51 = 699.59 : x
  2. Step 2: Convert to fraction form
    1,223.56/1,688.51 = 699.59/x
  3. Step 3: Cross multiply
    1,223.56x = 1,688.51 × 699.59
  4. Step 4: Simplify right side
    1,223.56x = 1,181,265.40
  5. Step 5: Solve for x
    x = 1,181,265.40/1,223.56
  6. Step 6: Final answer
    x = 965.43

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Why These Related Problems?

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