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Finding the Fourth Proportional to 858.13, 1,283.99 and 511.65

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Solution

The fourth proportional to 858.13, 1,283.99 and 511.65 is: 765.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.13 : 1,283.99 = 511.65 : x
  2. Step 2: Convert to fraction form
    858.13/1,283.99 = 511.65/x
  3. Step 3: Cross multiply
    858.13x = 1,283.99 × 511.65
  4. Step 4: Simplify right side
    858.13x = 656,950.93
  5. Step 5: Solve for x
    x = 656,950.93/858.13
  6. Step 6: Final answer
    x = 765.56

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Why These Related Problems?

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