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Finding the Fourth Proportional to 857.67, 1,284.23 and 506.00

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Solution

The fourth proportional to 857.67, 1,284.23 and 506.00 is: 757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.67 : 1,284.23 = 506.00 : x
  2. Step 2: Convert to fraction form
    857.67/1,284.23 = 506.00/x
  3. Step 3: Cross multiply
    857.67x = 1,284.23 × 506.00
  4. Step 4: Simplify right side
    857.67x = 649,815.22
  5. Step 5: Solve for x
    x = 649,815.22/857.67
  6. Step 6: Final answer
    x = 757.65

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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.