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Finding the Fourth Proportional to 1,066.55, 1,596.94 and 552.47

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Solution

The fourth proportional to 1,066.55, 1,596.94 and 552.47 is: 827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.55 : 1,596.94 = 552.47 : x
  2. Step 2: Convert to fraction form
    1,066.55/1,596.94 = 552.47/x
  3. Step 3: Cross multiply
    1,066.55x = 1,596.94 × 552.47
  4. Step 4: Simplify right side
    1,066.55x = 882,261.44
  5. Step 5: Solve for x
    x = 882,261.44/1,066.55
  6. Step 6: Final answer
    x = 827.21

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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.