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Finding the Fourth Proportional to 1,026.31, 1,539.61 and 376.99

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Solution

The fourth proportional to 1,026.31, 1,539.61 and 376.99 is: 565.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.31 : 1,539.61 = 376.99 : x
  2. Step 2: Convert to fraction form
    1,026.31/1,539.61 = 376.99/x
  3. Step 3: Cross multiply
    1,026.31x = 1,539.61 × 376.99
  4. Step 4: Simplify right side
    1,026.31x = 580,415.41
  5. Step 5: Solve for x
    x = 580,415.41/1,026.31
  6. Step 6: Final answer
    x = 565.54

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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.