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Finding the Fourth Proportional to 1,765.46, 2,648.50 and 726.03

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Solution

The fourth proportional to 1,765.46, 2,648.50 and 726.03 is: 1,089.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.46 : 2,648.50 = 726.03 : x
  2. Step 2: Convert to fraction form
    1,765.46/2,648.50 = 726.03/x
  3. Step 3: Cross multiply
    1,765.46x = 2,648.50 × 726.03
  4. Step 4: Simplify right side
    1,765.46x = 1,922,888.64
  5. Step 5: Solve for x
    x = 1,922,888.64/1,765.46
  6. Step 6: Final answer
    x = 1,089.17

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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.