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Finding the Fourth Proportional to 1,630.14, 2,443.16 and 655.70

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Solution

The fourth proportional to 1,630.14, 2,443.16 and 655.70 is: 982.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.14 : 2,443.16 = 655.70 : x
  2. Step 2: Convert to fraction form
    1,630.14/2,443.16 = 655.70/x
  3. Step 3: Cross multiply
    1,630.14x = 2,443.16 × 655.70
  4. Step 4: Simplify right side
    1,630.14x = 1,601,980.01
  5. Step 5: Solve for x
    x = 1,601,980.01/1,630.14
  6. Step 6: Final answer
    x = 982.73

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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.