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Finding the Fourth Proportional to 1,339.91, 2,008.23 and 783.59

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Solution

The fourth proportional to 1,339.91, 2,008.23 and 783.59 is: 1,174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.91 : 2,008.23 = 783.59 : x
  2. Step 2: Convert to fraction form
    1,339.91/2,008.23 = 783.59/x
  3. Step 3: Cross multiply
    1,339.91x = 2,008.23 × 783.59
  4. Step 4: Simplify right side
    1,339.91x = 1,573,628.95
  5. Step 5: Solve for x
    x = 1,573,628.95/1,339.91
  6. Step 6: Final answer
    x = 1,174.43

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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.