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Finding the Fourth Proportional to 1,410.66, 2,114.55 and 486

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Solution

The fourth proportional to 1,410.66, 2,114.55 and 486 is: 728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.66 : 2,114.55 = 486 : x
  2. Step 2: Convert to fraction form
    1,410.66/2,114.55 = 486/x
  3. Step 3: Cross multiply
    1,410.66x = 2,114.55 × 486
  4. Step 4: Simplify right side
    1,410.66x = 1,027,671.30
  5. Step 5: Solve for x
    x = 1,027,671.30/1,410.66
  6. Step 6: Final answer
    x = 728.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.