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Finding the Fourth Proportional to 853.79, 1,278.96 and 487.52

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Solution

The fourth proportional to 853.79, 1,278.96 and 487.52 is: 730.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.79 : 1,278.96 = 487.52 : x
  2. Step 2: Convert to fraction form
    853.79/1,278.96 = 487.52/x
  3. Step 3: Cross multiply
    853.79x = 1,278.96 × 487.52
  4. Step 4: Simplify right side
    853.79x = 623,518.58
  5. Step 5: Solve for x
    x = 623,518.58/853.79
  6. Step 6: Final answer
    x = 730.30

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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.