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Finding the Fourth Proportional to 1,205.70, 1,806.15 and 656.90

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Solution

The fourth proportional to 1,205.70, 1,806.15 and 656.90 is: 984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.70 : 1,806.15 = 656.90 : x
  2. Step 2: Convert to fraction form
    1,205.70/1,806.15 = 656.90/x
  3. Step 3: Cross multiply
    1,205.70x = 1,806.15 × 656.90
  4. Step 4: Simplify right side
    1,205.70x = 1,186,459.94
  5. Step 5: Solve for x
    x = 1,186,459.94/1,205.70
  6. Step 6: Final answer
    x = 984.04

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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.