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Finding the Fourth Proportional to 1,202.37, 1,803.96 and 471.55

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Solution

The fourth proportional to 1,202.37, 1,803.96 and 471.55 is: 707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.37 : 1,803.96 = 471.55 : x
  2. Step 2: Convert to fraction form
    1,202.37/1,803.96 = 471.55/x
  3. Step 3: Cross multiply
    1,202.37x = 1,803.96 × 471.55
  4. Step 4: Simplify right side
    1,202.37x = 850,645.96
  5. Step 5: Solve for x
    x = 850,645.96/1,202.37
  6. Step 6: Final answer
    x = 707.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.