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Finding the Fourth Proportional to 1,026.71, 1,539.83 and 296.09

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Solution

The fourth proportional to 1,026.71, 1,539.83 and 296.09 is: 444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.71 : 1,539.83 = 296.09 : x
  2. Step 2: Convert to fraction form
    1,026.71/1,539.83 = 296.09/x
  3. Step 3: Cross multiply
    1,026.71x = 1,539.83 × 296.09
  4. Step 4: Simplify right side
    1,026.71x = 455,921.31
  5. Step 5: Solve for x
    x = 455,921.31/1,026.71
  6. Step 6: Final answer
    x = 444.06

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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.