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Finding the Fourth Proportional to 1,459.57, 2,188.84 and 485.41

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Solution

The fourth proportional to 1,459.57, 2,188.84 and 485.41 is: 727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.57 : 2,188.84 = 485.41 : x
  2. Step 2: Convert to fraction form
    1,459.57/2,188.84 = 485.41/x
  3. Step 3: Cross multiply
    1,459.57x = 2,188.84 × 485.41
  4. Step 4: Simplify right side
    1,459.57x = 1,062,484.82
  5. Step 5: Solve for x
    x = 1,062,484.82/1,459.57
  6. Step 6: Final answer
    x = 727.94

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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.