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Finding the Fourth Proportional to 972.33, 1,341.59 and 579.27

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Solution

The fourth proportional to 972.33, 1,341.59 and 579.27 is: 799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.33 : 1,341.59 = 579.27 : x
  2. Step 2: Convert to fraction form
    972.33/1,341.59 = 579.27/x
  3. Step 3: Cross multiply
    972.33x = 1,341.59 × 579.27
  4. Step 4: Simplify right side
    972.33x = 777,142.84
  5. Step 5: Solve for x
    x = 777,142.84/972.33
  6. Step 6: Final answer
    x = 799.26

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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.