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Finding the Fourth Proportional to 1,459.14, 2,188.86 and 484.98

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Solution

The fourth proportional to 1,459.14, 2,188.86 and 484.98 is: 727.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.14 : 2,188.86 = 484.98 : x
  2. Step 2: Convert to fraction form
    1,459.14/2,188.86 = 484.98/x
  3. Step 3: Cross multiply
    1,459.14x = 2,188.86 × 484.98
  4. Step 4: Simplify right side
    1,459.14x = 1,061,553.32
  5. Step 5: Solve for x
    x = 1,061,553.32/1,459.14
  6. Step 6: Final answer
    x = 727.52

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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.