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Finding the Fourth Proportional to 600, 894.61 and 589.07

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Solution

The fourth proportional to 600, 894.61 and 589.07 is: 878.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    600 : 894.61 = 589.07 : x
  2. Step 2: Convert to fraction form
    600/894.61 = 589.07/x
  3. Step 3: Cross multiply
    600x = 894.61 × 589.07
  4. Step 4: Simplify right side
    600x = 526,983.44
  5. Step 5: Solve for x
    x = 526,983.44/600
  6. Step 6: Final answer
    x = 878.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.