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Finding the Fourth Proportional to 1,298.12, 1,947.13 and 324.22

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Solution

The fourth proportional to 1,298.12, 1,947.13 and 324.22 is: 486.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.12 : 1,947.13 = 324.22 : x
  2. Step 2: Convert to fraction form
    1,298.12/1,947.13 = 324.22/x
  3. Step 3: Cross multiply
    1,298.12x = 1,947.13 × 324.22
  4. Step 4: Simplify right side
    1,298.12x = 631,298.49
  5. Step 5: Solve for x
    x = 631,298.49/1,298.12
  6. Step 6: Final answer
    x = 486.32

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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.