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Finding the Fourth Proportional to 985.42, 1,481.02 and 472.78

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Solution

The fourth proportional to 985.42, 1,481.02 and 472.78 is: 710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.42 : 1,481.02 = 472.78 : x
  2. Step 2: Convert to fraction form
    985.42/1,481.02 = 472.78/x
  3. Step 3: Cross multiply
    985.42x = 1,481.02 × 472.78
  4. Step 4: Simplify right side
    985.42x = 700,196.64
  5. Step 5: Solve for x
    x = 700,196.64/985.42
  6. Step 6: Final answer
    x = 710.56

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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.