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Finding the Fourth Proportional to 1,066.35, 1,597.30 and 892.52

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Solution

The fourth proportional to 1,066.35, 1,597.30 and 892.52 is: 1,336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.35 : 1,597.30 = 892.52 : x
  2. Step 2: Convert to fraction form
    1,066.35/1,597.30 = 892.52/x
  3. Step 3: Cross multiply
    1,066.35x = 1,597.30 × 892.52
  4. Step 4: Simplify right side
    1,066.35x = 1,425,611.98
  5. Step 5: Solve for x
    x = 1,425,611.98/1,066.35
  6. Step 6: Final answer
    x = 1,336.91

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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.