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Finding the Fourth Proportional to 1,726.68, 2,589.94 and 556.67

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Solution

The fourth proportional to 1,726.68, 2,589.94 and 556.67 is: 834.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.68 : 2,589.94 = 556.67 : x
  2. Step 2: Convert to fraction form
    1,726.68/2,589.94 = 556.67/x
  3. Step 3: Cross multiply
    1,726.68x = 2,589.94 × 556.67
  4. Step 4: Simplify right side
    1,726.68x = 1,441,749.07
  5. Step 5: Solve for x
    x = 1,441,749.07/1,726.68
  6. Step 6: Final answer
    x = 834.98

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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.