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Finding the Fourth Proportional to 1,475.05, 2,212.56 and 597.55

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Solution

The fourth proportional to 1,475.05, 2,212.56 and 597.55 is: 896.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.05 : 2,212.56 = 597.55 : x
  2. Step 2: Convert to fraction form
    1,475.05/2,212.56 = 597.55/x
  3. Step 3: Cross multiply
    1,475.05x = 2,212.56 × 597.55
  4. Step 4: Simplify right side
    1,475.05x = 1,322,115.23
  5. Step 5: Solve for x
    x = 1,322,115.23/1,475.05
  6. Step 6: Final answer
    x = 896.32

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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.