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Finding the Fourth Proportional to 1,360.34, 2,041.19 and 539.21

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Solution

The fourth proportional to 1,360.34, 2,041.19 and 539.21 is: 809.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.34 : 2,041.19 = 539.21 : x
  2. Step 2: Convert to fraction form
    1,360.34/2,041.19 = 539.21/x
  3. Step 3: Cross multiply
    1,360.34x = 2,041.19 × 539.21
  4. Step 4: Simplify right side
    1,360.34x = 1,100,617.16
  5. Step 5: Solve for x
    x = 1,100,617.16/1,360.34
  6. Step 6: Final answer
    x = 809.08

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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.