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Finding the Fourth Proportional to 600.75, 896.78 and 555.66

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Solution

The fourth proportional to 600.75, 896.78 and 555.66 is: 829.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.75 : 896.78 = 555.66 : x
  2. Step 2: Convert to fraction form
    600.75/896.78 = 555.66/x
  3. Step 3: Cross multiply
    600.75x = 896.78 × 555.66
  4. Step 4: Simplify right side
    600.75x = 498,297.51
  5. Step 5: Solve for x
    x = 498,297.51/600.75
  6. Step 6: Final answer
    x = 829.47

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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.