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Finding the Fourth Proportional to 1,223.38, 1,688.24 and 663.83

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Solution

The fourth proportional to 1,223.38, 1,688.24 and 663.83 is: 916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.38 : 1,688.24 = 663.83 : x
  2. Step 2: Convert to fraction form
    1,223.38/1,688.24 = 663.83/x
  3. Step 3: Cross multiply
    1,223.38x = 1,688.24 × 663.83
  4. Step 4: Simplify right side
    1,223.38x = 1,120,704.36
  5. Step 5: Solve for x
    x = 1,120,704.36/1,223.38
  6. Step 6: Final answer
    x = 916.07

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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.