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Finding the Fourth Proportional to 1,027.81, 1,539.76 and 610.46

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Solution

The fourth proportional to 1,027.81, 1,539.76 and 610.46 is: 914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.81 : 1,539.76 = 610.46 : x
  2. Step 2: Convert to fraction form
    1,027.81/1,539.76 = 610.46/x
  3. Step 3: Cross multiply
    1,027.81x = 1,539.76 × 610.46
  4. Step 4: Simplify right side
    1,027.81x = 939,952.66
  5. Step 5: Solve for x
    x = 939,952.66/1,027.81
  6. Step 6: Final answer
    x = 914.52

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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.