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Finding the Fourth Proportional to 1,726.65, 2,589.61 and 556.76

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Solution

The fourth proportional to 1,726.65, 2,589.61 and 556.76 is: 835.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.65 : 2,589.61 = 556.76 : x
  2. Step 2: Convert to fraction form
    1,726.65/2,589.61 = 556.76/x
  3. Step 3: Cross multiply
    1,726.65x = 2,589.61 × 556.76
  4. Step 4: Simplify right side
    1,726.65x = 1,441,791.26
  5. Step 5: Solve for x
    x = 1,441,791.26/1,726.65
  6. Step 6: Final answer
    x = 835.02

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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.