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Finding the Fourth Proportional to 1,647.59, 2,471.75 and 493.25

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Solution

The fourth proportional to 1,647.59, 2,471.75 and 493.25 is: 739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.59 : 2,471.75 = 493.25 : x
  2. Step 2: Convert to fraction form
    1,647.59/2,471.75 = 493.25/x
  3. Step 3: Cross multiply
    1,647.59x = 2,471.75 × 493.25
  4. Step 4: Simplify right side
    1,647.59x = 1,219,188.22
  5. Step 5: Solve for x
    x = 1,219,188.22/1,647.59
  6. Step 6: Final answer
    x = 739.98

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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.