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Finding the Fourth Proportional to 935.68, 1,291.34 and 562.64

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Solution

The fourth proportional to 935.68, 1,291.34 and 562.64 is: 776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.68 : 1,291.34 = 562.64 : x
  2. Step 2: Convert to fraction form
    935.68/1,291.34 = 562.64/x
  3. Step 3: Cross multiply
    935.68x = 1,291.34 × 562.64
  4. Step 4: Simplify right side
    935.68x = 726,559.54
  5. Step 5: Solve for x
    x = 726,559.54/935.68
  6. Step 6: Final answer
    x = 776.50

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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.