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Finding the Fourth Proportional to 853.42, 1,278.32 and 527.80

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Solution

The fourth proportional to 853.42, 1,278.32 and 527.80 is: 790.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.42 : 1,278.32 = 527.80 : x
  2. Step 2: Convert to fraction form
    853.42/1,278.32 = 527.80/x
  3. Step 3: Cross multiply
    853.42x = 1,278.32 × 527.80
  4. Step 4: Simplify right side
    853.42x = 674,697.30
  5. Step 5: Solve for x
    x = 674,697.30/853.42
  6. Step 6: Final answer
    x = 790.58

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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.