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Finding the Fourth Proportional to 1,550.97, 2,325.88 and 510.67

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Solution

The fourth proportional to 1,550.97, 2,325.88 and 510.67 is: 765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.97 : 2,325.88 = 510.67 : x
  2. Step 2: Convert to fraction form
    1,550.97/2,325.88 = 510.67/x
  3. Step 3: Cross multiply
    1,550.97x = 2,325.88 × 510.67
  4. Step 4: Simplify right side
    1,550.97x = 1,187,757.14
  5. Step 5: Solve for x
    x = 1,187,757.14/1,550.97
  6. Step 6: Final answer
    x = 765.82

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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.