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Finding the Fourth Proportional to 858.65, 1,286.94 and 562.30

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Solution

The fourth proportional to 858.65, 1,286.94 and 562.30 is: 842.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.65 : 1,286.94 = 562.30 : x
  2. Step 2: Convert to fraction form
    858.65/1,286.94 = 562.30/x
  3. Step 3: Cross multiply
    858.65x = 1,286.94 × 562.30
  4. Step 4: Simplify right side
    858.65x = 723,646.36
  5. Step 5: Solve for x
    x = 723,646.36/858.65
  6. Step 6: Final answer
    x = 842.77

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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.