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Finding the Fourth Proportional to 1,202.98, 1,803.70 and 472.63

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Solution

The fourth proportional to 1,202.98, 1,803.70 and 472.63 is: 708.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.98 : 1,803.70 = 472.63 : x
  2. Step 2: Convert to fraction form
    1,202.98/1,803.70 = 472.63/x
  3. Step 3: Cross multiply
    1,202.98x = 1,803.70 × 472.63
  4. Step 4: Simplify right side
    1,202.98x = 852,482.73
  5. Step 5: Solve for x
    x = 852,482.73/1,202.98
  6. Step 6: Final answer
    x = 708.64

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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.