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Finding the Fourth Proportional to 977.64, 1,349.22 and 579.42

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Solution

The fourth proportional to 977.64, 1,349.22 and 579.42 is: 799.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.64 : 1,349.22 = 579.42 : x
  2. Step 2: Convert to fraction form
    977.64/1,349.22 = 579.42/x
  3. Step 3: Cross multiply
    977.64x = 1,349.22 × 579.42
  4. Step 4: Simplify right side
    977.64x = 781,767.23
  5. Step 5: Solve for x
    x = 781,767.23/977.64
  6. Step 6: Final answer
    x = 799.65

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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.