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Finding the Fourth Proportional to 1,035.12, 1,552.26 and 804.27

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Solution

The fourth proportional to 1,035.12, 1,552.26 and 804.27 is: 1,206.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.12 : 1,552.26 = 804.27 : x
  2. Step 2: Convert to fraction form
    1,035.12/1,552.26 = 804.27/x
  3. Step 3: Cross multiply
    1,035.12x = 1,552.26 × 804.27
  4. Step 4: Simplify right side
    1,035.12x = 1,248,436.15
  5. Step 5: Solve for x
    x = 1,248,436.15/1,035.12
  6. Step 6: Final answer
    x = 1,206.08

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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.