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Finding the Fourth Proportional to 834.35, 1,150.65 and 568.67

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Solution

The fourth proportional to 834.35, 1,150.65 and 568.67 is: 784.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.35 : 1,150.65 = 568.67 : x
  2. Step 2: Convert to fraction form
    834.35/1,150.65 = 568.67/x
  3. Step 3: Cross multiply
    834.35x = 1,150.65 × 568.67
  4. Step 4: Simplify right side
    834.35x = 654,334.38
  5. Step 5: Solve for x
    x = 654,334.38/834.35
  6. Step 6: Final answer
    x = 784.25

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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.