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Finding the Fourth Proportional to 857.36, 1,284.96 and 511.22

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Solution

The fourth proportional to 857.36, 1,284.96 and 511.22 is: 766.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.36 : 1,284.96 = 511.22 : x
  2. Step 2: Convert to fraction form
    857.36/1,284.96 = 511.22/x
  3. Step 3: Cross multiply
    857.36x = 1,284.96 × 511.22
  4. Step 4: Simplify right side
    857.36x = 656,897.25
  5. Step 5: Solve for x
    x = 656,897.25/857.36
  6. Step 6: Final answer
    x = 766.19

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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.