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Finding the Fourth Proportional to 1,066.46, 1,597.52 and 552.38

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Solution

The fourth proportional to 1,066.46, 1,597.52 and 552.38 is: 827.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.46 : 1,597.52 = 552.38 : x
  2. Step 2: Convert to fraction form
    1,066.46/1,597.52 = 552.38/x
  3. Step 3: Cross multiply
    1,066.46x = 1,597.52 × 552.38
  4. Step 4: Simplify right side
    1,066.46x = 882,431.49
  5. Step 5: Solve for x
    x = 882,431.49/1,066.46
  6. Step 6: Final answer
    x = 827.44

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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.