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Finding the Fourth Proportional to 611.96, 913.01 and 589.55

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Solution

The fourth proportional to 611.96, 913.01 and 589.55 is: 879.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.96 : 913.01 = 589.55 : x
  2. Step 2: Convert to fraction form
    611.96/913.01 = 589.55/x
  3. Step 3: Cross multiply
    611.96x = 913.01 × 589.55
  4. Step 4: Simplify right side
    611.96x = 538,257.53
  5. Step 5: Solve for x
    x = 538,257.53/611.96
  6. Step 6: Final answer
    x = 879.57

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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.