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Finding the Fourth Proportional to 1,391.29, 2,087.30 and 525.61

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Solution

The fourth proportional to 1,391.29, 2,087.30 and 525.61 is: 788.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.29 : 2,087.30 = 525.61 : x
  2. Step 2: Convert to fraction form
    1,391.29/2,087.30 = 525.61/x
  3. Step 3: Cross multiply
    1,391.29x = 2,087.30 × 525.61
  4. Step 4: Simplify right side
    1,391.29x = 1,097,105.75
  5. Step 5: Solve for x
    x = 1,097,105.75/1,391.29
  6. Step 6: Final answer
    x = 788.55

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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.