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Finding the Fourth Proportional to 1,223.56, 1,834.26 and 644.68

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Solution

The fourth proportional to 1,223.56, 1,834.26 and 644.68 is: 966.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.56 : 1,834.26 = 644.68 : x
  2. Step 2: Convert to fraction form
    1,223.56/1,834.26 = 644.68/x
  3. Step 3: Cross multiply
    1,223.56x = 1,834.26 × 644.68
  4. Step 4: Simplify right side
    1,223.56x = 1,182,510.74
  5. Step 5: Solve for x
    x = 1,182,510.74/1,223.56
  6. Step 6: Final answer
    x = 966.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.