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Finding the Fourth Proportional to 971.94, 1,340.73 and 579.09

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Solution

The fourth proportional to 971.94, 1,340.73 and 579.09 is: 798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.94 : 1,340.73 = 579.09 : x
  2. Step 2: Convert to fraction form
    971.94/1,340.73 = 579.09/x
  3. Step 3: Cross multiply
    971.94x = 1,340.73 × 579.09
  4. Step 4: Simplify right side
    971.94x = 776,403.34
  5. Step 5: Solve for x
    x = 776,403.34/971.94
  6. Step 6: Final answer
    x = 798.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.