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Finding the Fourth Proportional to 1,202.12, 1,803.61 and 472.19

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Solution

The fourth proportional to 1,202.12, 1,803.61 and 472.19 is: 708.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.12 : 1,803.61 = 472.19 : x
  2. Step 2: Convert to fraction form
    1,202.12/1,803.61 = 472.19/x
  3. Step 3: Cross multiply
    1,202.12x = 1,803.61 × 472.19
  4. Step 4: Simplify right side
    1,202.12x = 851,646.61
  5. Step 5: Solve for x
    x = 851,646.61/1,202.12
  6. Step 6: Final answer
    x = 708.46

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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.