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Finding the Fourth Proportional to 935.68, 1,290.82 and 562.44

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Solution

The fourth proportional to 935.68, 1,290.82 and 562.44 is: 775.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.68 : 1,290.82 = 562.44 : x
  2. Step 2: Convert to fraction form
    935.68/1,290.82 = 562.44/x
  3. Step 3: Cross multiply
    935.68x = 1,290.82 × 562.44
  4. Step 4: Simplify right side
    935.68x = 726,005.99
  5. Step 5: Solve for x
    x = 726,005.99/935.68
  6. Step 6: Final answer
    x = 775.92

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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.