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Finding the Fourth Proportional to 1,041.13, 1,561.26 and 338.17

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Solution

The fourth proportional to 1,041.13, 1,561.26 and 338.17 is: 507.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.13 : 1,561.26 = 338.17 : x
  2. Step 2: Convert to fraction form
    1,041.13/1,561.26 = 338.17/x
  3. Step 3: Cross multiply
    1,041.13x = 1,561.26 × 338.17
  4. Step 4: Simplify right side
    1,041.13x = 527,971.29
  5. Step 5: Solve for x
    x = 527,971.29/1,041.13
  6. Step 6: Final answer
    x = 507.11

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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.