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Finding the Fourth Proportional to 1,391.60, 2,087.17 and 514.51

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Solution

The fourth proportional to 1,391.60, 2,087.17 and 514.51 is: 771.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.60 : 2,087.17 = 514.51 : x
  2. Step 2: Convert to fraction form
    1,391.60/2,087.17 = 514.51/x
  3. Step 3: Cross multiply
    1,391.60x = 2,087.17 × 514.51
  4. Step 4: Simplify right side
    1,391.60x = 1,073,866.27
  5. Step 5: Solve for x
    x = 1,073,866.27/1,391.60
  6. Step 6: Final answer
    x = 771.68

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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.