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Finding the Fourth Proportional to 857.84, 1,285.10 and 511.45

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Solution

The fourth proportional to 857.84, 1,285.10 and 511.45 is: 766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.84 : 1,285.10 = 511.45 : x
  2. Step 2: Convert to fraction form
    857.84/1,285.10 = 511.45/x
  3. Step 3: Cross multiply
    857.84x = 1,285.10 × 511.45
  4. Step 4: Simplify right side
    857.84x = 657,257.97
  5. Step 5: Solve for x
    x = 657,257.97/857.84
  6. Step 6: Final answer
    x = 766.18

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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.