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Finding the Fourth Proportional to 611.56, 848.13 and 589.69

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Solution

The fourth proportional to 611.56, 848.13 and 589.69 is: 817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.56 : 848.13 = 589.69 : x
  2. Step 2: Convert to fraction form
    611.56/848.13 = 589.69/x
  3. Step 3: Cross multiply
    611.56x = 848.13 × 589.69
  4. Step 4: Simplify right side
    611.56x = 500,133.78
  5. Step 5: Solve for x
    x = 500,133.78/611.56
  6. Step 6: Final answer
    x = 817.80

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.