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Finding the Fourth Proportional to 858.57, 1,184.67 and 579.26

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Solution

The fourth proportional to 858.57, 1,184.67 and 579.26 is: 799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.57 : 1,184.67 = 579.26 : x
  2. Step 2: Convert to fraction form
    858.57/1,184.67 = 579.26/x
  3. Step 3: Cross multiply
    858.57x = 1,184.67 × 579.26
  4. Step 4: Simplify right side
    858.57x = 686,226.02
  5. Step 5: Solve for x
    x = 686,226.02/858.57
  6. Step 6: Final answer
    x = 799.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.