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Finding the Fourth Proportional to 1,411.13, 2,114.36 and 486.18

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Solution

The fourth proportional to 1,411.13, 2,114.36 and 486.18 is: 728.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.13 : 2,114.36 = 486.18 : x
  2. Step 2: Convert to fraction form
    1,411.13/2,114.36 = 486.18/x
  3. Step 3: Cross multiply
    1,411.13x = 2,114.36 × 486.18
  4. Step 4: Simplify right side
    1,411.13x = 1,027,959.54
  5. Step 5: Solve for x
    x = 1,027,959.54/1,411.13
  6. Step 6: Final answer
    x = 728.47

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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.