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Finding the Fourth Proportional to 1,459.92, 2,189.60 and 486

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Solution

The fourth proportional to 1,459.92, 2,189.60 and 486 is: 728.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.92 : 2,189.60 = 486 : x
  2. Step 2: Convert to fraction form
    1,459.92/2,189.60 = 486/x
  3. Step 3: Cross multiply
    1,459.92x = 2,189.60 × 486
  4. Step 4: Simplify right side
    1,459.92x = 1,064,145.60
  5. Step 5: Solve for x
    x = 1,064,145.60/1,459.92
  6. Step 6: Final answer
    x = 728.91

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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.