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Finding the Fourth Proportional to 1,200.03, 1,800.02 and 655.66

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Solution

The fourth proportional to 1,200.03, 1,800.02 and 655.66 is: 983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.03 : 1,800.02 = 655.66 : x
  2. Step 2: Convert to fraction form
    1,200.03/1,800.02 = 655.66/x
  3. Step 3: Cross multiply
    1,200.03x = 1,800.02 × 655.66
  4. Step 4: Simplify right side
    1,200.03x = 1,180,202.33
  5. Step 5: Solve for x
    x = 1,180,202.33/1,200.03
  6. Step 6: Final answer
    x = 983.48

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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.