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Finding the Fourth Proportional to 1,459.95, 2,189.12 and 485.97

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Solution

The fourth proportional to 1,459.95, 2,189.12 and 485.97 is: 728.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.95 : 2,189.12 = 485.97 : x
  2. Step 2: Convert to fraction form
    1,459.95/2,189.12 = 485.97/x
  3. Step 3: Cross multiply
    1,459.95x = 2,189.12 × 485.97
  4. Step 4: Simplify right side
    1,459.95x = 1,063,844.22
  5. Step 5: Solve for x
    x = 1,063,844.22/1,459.95
  6. Step 6: Final answer
    x = 728.69

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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.