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Finding the Fourth Proportional to 1,202.70, 1,803 and 472.80

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Solution

The fourth proportional to 1,202.70, 1,803 and 472.80 is: 708.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.70 : 1,803 = 472.80 : x
  2. Step 2: Convert to fraction form
    1,202.70/1,803 = 472.80/x
  3. Step 3: Cross multiply
    1,202.70x = 1,803 × 472.80
  4. Step 4: Simplify right side
    1,202.70x = 852,458.40
  5. Step 5: Solve for x
    x = 852,458.40/1,202.70
  6. Step 6: Final answer
    x = 708.79

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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.