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Finding the Fourth Proportional to 1,008.05, 1,503.46 and 885.46

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Solution

The fourth proportional to 1,008.05, 1,503.46 and 885.46 is: 1,320.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.05 : 1,503.46 = 885.46 : x
  2. Step 2: Convert to fraction form
    1,008.05/1,503.46 = 885.46/x
  3. Step 3: Cross multiply
    1,008.05x = 1,503.46 × 885.46
  4. Step 4: Simplify right side
    1,008.05x = 1,331,249.26
  5. Step 5: Solve for x
    x = 1,331,249.26/1,008.05
  6. Step 6: Final answer
    x = 1,320.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.