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Finding the Fourth Proportional to 1,202.34, 1,804.31 and 471.98

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Solution

The fourth proportional to 1,202.34, 1,804.31 and 471.98 is: 708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.34 : 1,804.31 = 471.98 : x
  2. Step 2: Convert to fraction form
    1,202.34/1,804.31 = 471.98/x
  3. Step 3: Cross multiply
    1,202.34x = 1,804.31 × 471.98
  4. Step 4: Simplify right side
    1,202.34x = 851,598.23
  5. Step 5: Solve for x
    x = 851,598.23/1,202.34
  6. Step 6: Final answer
    x = 708.28

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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.