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Finding the Fourth Proportional to 1,230.96, 1,846.97 and 653.70

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Solution

The fourth proportional to 1,230.96, 1,846.97 and 653.70 is: 980.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.96 : 1,846.97 = 653.70 : x
  2. Step 2: Convert to fraction form
    1,230.96/1,846.97 = 653.70/x
  3. Step 3: Cross multiply
    1,230.96x = 1,846.97 × 653.70
  4. Step 4: Simplify right side
    1,230.96x = 1,207,364.29
  5. Step 5: Solve for x
    x = 1,207,364.29/1,230.96
  6. Step 6: Final answer
    x = 980.83

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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.