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Finding the Fourth Proportional to 591.92, 888.54 and 578.06

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Solution

The fourth proportional to 591.92, 888.54 and 578.06 is: 867.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.92 : 888.54 = 578.06 : x
  2. Step 2: Convert to fraction form
    591.92/888.54 = 578.06/x
  3. Step 3: Cross multiply
    591.92x = 888.54 × 578.06
  4. Step 4: Simplify right side
    591.92x = 513,629.43
  5. Step 5: Solve for x
    x = 513,629.43/591.92
  6. Step 6: Final answer
    x = 867.73

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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.