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Finding the Fourth Proportional to 789.91, 1,088.71 and 593.08

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Solution

The fourth proportional to 789.91, 1,088.71 and 593.08 is: 817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.91 : 1,088.71 = 593.08 : x
  2. Step 2: Convert to fraction form
    789.91/1,088.71 = 593.08/x
  3. Step 3: Cross multiply
    789.91x = 1,088.71 × 593.08
  4. Step 4: Simplify right side
    789.91x = 645,692.13
  5. Step 5: Solve for x
    x = 645,692.13/789.91
  6. Step 6: Final answer
    x = 817.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.