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Finding the Fourth Proportional to 1,475.18, 2,212.49 and 597.63

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Solution

The fourth proportional to 1,475.18, 2,212.49 and 597.63 is: 896.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.18 : 2,212.49 = 597.63 : x
  2. Step 2: Convert to fraction form
    1,475.18/2,212.49 = 597.63/x
  3. Step 3: Cross multiply
    1,475.18x = 2,212.49 × 597.63
  4. Step 4: Simplify right side
    1,475.18x = 1,322,250.40
  5. Step 5: Solve for x
    x = 1,322,250.40/1,475.18
  6. Step 6: Final answer
    x = 896.33

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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.