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Finding the Fourth Proportional to 1,156.05, 1,593.81 and 998.10

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Solution

The fourth proportional to 1,156.05, 1,593.81 and 998.10 is: 1,376.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.05 : 1,593.81 = 998.10 : x
  2. Step 2: Convert to fraction form
    1,156.05/1,593.81 = 998.10/x
  3. Step 3: Cross multiply
    1,156.05x = 1,593.81 × 998.10
  4. Step 4: Simplify right side
    1,156.05x = 1,590,781.76
  5. Step 5: Solve for x
    x = 1,590,781.76/1,156.05
  6. Step 6: Final answer
    x = 1,376.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.