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Finding the Fourth Proportional to 1,223.38, 1,688.34 and 699.40

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Solution

The fourth proportional to 1,223.38, 1,688.34 and 699.40 is: 965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.38 : 1,688.34 = 699.40 : x
  2. Step 2: Convert to fraction form
    1,223.38/1,688.34 = 699.40/x
  3. Step 3: Cross multiply
    1,223.38x = 1,688.34 × 699.40
  4. Step 4: Simplify right side
    1,223.38x = 1,180,825.00
  5. Step 5: Solve for x
    x = 1,180,825.00/1,223.38
  6. Step 6: Final answer
    x = 965.22

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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.