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Finding the Fourth Proportional to 985.42, 1,478.31 and 437.61

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Solution

The fourth proportional to 985.42, 1,478.31 and 437.61 is: 656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.42 : 1,478.31 = 437.61 : x
  2. Step 2: Convert to fraction form
    985.42/1,478.31 = 437.61/x
  3. Step 3: Cross multiply
    985.42x = 1,478.31 × 437.61
  4. Step 4: Simplify right side
    985.42x = 646,923.24
  5. Step 5: Solve for x
    x = 646,923.24/985.42
  6. Step 6: Final answer
    x = 656.49

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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.