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Finding the Fourth Proportional to 1,223.38, 1,688.37 and 699.44

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Solution

The fourth proportional to 1,223.38, 1,688.37 and 699.44 is: 965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.38 : 1,688.37 = 699.44 : x
  2. Step 2: Convert to fraction form
    1,223.38/1,688.37 = 699.44/x
  3. Step 3: Cross multiply
    1,223.38x = 1,688.37 × 699.44
  4. Step 4: Simplify right side
    1,223.38x = 1,180,913.51
  5. Step 5: Solve for x
    x = 1,180,913.51/1,223.38
  6. Step 6: Final answer
    x = 965.29

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1.5x scale

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.