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Finding the Fourth Proportional to 977.82, 1,349.42 and 535.74

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Solution

The fourth proportional to 977.82, 1,349.42 and 535.74 is: 739.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.82 : 1,349.42 = 535.74 : x
  2. Step 2: Convert to fraction form
    977.82/1,349.42 = 535.74/x
  3. Step 3: Cross multiply
    977.82x = 1,349.42 × 535.74
  4. Step 4: Simplify right side
    977.82x = 722,938.27
  5. Step 5: Solve for x
    x = 722,938.27/977.82
  6. Step 6: Final answer
    x = 739.34

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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.