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Finding the Fourth Proportional to 854.88, 1,283.40 and 509.82

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Solution

The fourth proportional to 854.88, 1,283.40 and 509.82 is: 765.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.88 : 1,283.40 = 509.82 : x
  2. Step 2: Convert to fraction form
    854.88/1,283.40 = 509.82/x
  3. Step 3: Cross multiply
    854.88x = 1,283.40 × 509.82
  4. Step 4: Simplify right side
    854.88x = 654,302.99
  5. Step 5: Solve for x
    x = 654,302.99/854.88
  6. Step 6: Final answer
    x = 765.37

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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.