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Finding the Fourth Proportional to 1,392.30, 2,086.89 and 569.58

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Solution

The fourth proportional to 1,392.30, 2,086.89 and 569.58 is: 853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.30 : 2,086.89 = 569.58 : x
  2. Step 2: Convert to fraction form
    1,392.30/2,086.89 = 569.58/x
  3. Step 3: Cross multiply
    1,392.30x = 2,086.89 × 569.58
  4. Step 4: Simplify right side
    1,392.30x = 1,188,650.81
  5. Step 5: Solve for x
    x = 1,188,650.81/1,392.30
  6. Step 6: Final answer
    x = 853.73

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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.