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Finding the Fourth Proportional to 858.14, 1,184.01 and 578.88

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Solution

The fourth proportional to 858.14, 1,184.01 and 578.88 is: 798.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.14 : 1,184.01 = 578.88 : x
  2. Step 2: Convert to fraction form
    858.14/1,184.01 = 578.88/x
  3. Step 3: Cross multiply
    858.14x = 1,184.01 × 578.88
  4. Step 4: Simplify right side
    858.14x = 685,399.71
  5. Step 5: Solve for x
    x = 685,399.71/858.14
  6. Step 6: Final answer
    x = 798.71

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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.