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Finding the Fourth Proportional to 935.75, 1,291.76 and 586.64

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Solution

The fourth proportional to 935.75, 1,291.76 and 586.64 is: 809.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.75 : 1,291.76 = 586.64 : x
  2. Step 2: Convert to fraction form
    935.75/1,291.76 = 586.64/x
  3. Step 3: Cross multiply
    935.75x = 1,291.76 × 586.64
  4. Step 4: Simplify right side
    935.75x = 757,795.15
  5. Step 5: Solve for x
    x = 757,795.15/935.75
  6. Step 6: Final answer
    x = 809.83

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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.