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Finding the Fourth Proportional to 858.70, 1,286.16 and 569.80

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Solution

The fourth proportional to 858.70, 1,286.16 and 569.80 is: 853.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.70 : 1,286.16 = 569.80 : x
  2. Step 2: Convert to fraction form
    858.70/1,286.16 = 569.80/x
  3. Step 3: Cross multiply
    858.70x = 1,286.16 × 569.80
  4. Step 4: Simplify right side
    858.70x = 732,853.97
  5. Step 5: Solve for x
    x = 732,853.97/858.70
  6. Step 6: Final answer
    x = 853.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.