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Finding the Fourth Proportional to 1,223.32, 1,687.63 and 725.98

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Solution

The fourth proportional to 1,223.32, 1,687.63 and 725.98 is: 1,001.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.32 : 1,687.63 = 725.98 : x
  2. Step 2: Convert to fraction form
    1,223.32/1,687.63 = 725.98/x
  3. Step 3: Cross multiply
    1,223.32x = 1,687.63 × 725.98
  4. Step 4: Simplify right side
    1,223.32x = 1,225,185.63
  5. Step 5: Solve for x
    x = 1,225,185.63/1,223.32
  6. Step 6: Final answer
    x = 1,001.53

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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.