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Finding the Fourth Proportional to 985.62, 1,475.23 and 725.56

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Solution

The fourth proportional to 985.62, 1,475.23 and 725.56 is: 1,085.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.62 : 1,475.23 = 725.56 : x
  2. Step 2: Convert to fraction form
    985.62/1,475.23 = 725.56/x
  3. Step 3: Cross multiply
    985.62x = 1,475.23 × 725.56
  4. Step 4: Simplify right side
    985.62x = 1,070,369.69
  5. Step 5: Solve for x
    x = 1,070,369.69/985.62
  6. Step 6: Final answer
    x = 1,085.99

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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.