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Finding the Fourth Proportional to 834.05, 1,149.58 and 568.28

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Solution

The fourth proportional to 834.05, 1,149.58 and 568.28 is: 783.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.05 : 1,149.58 = 568.28 : x
  2. Step 2: Convert to fraction form
    834.05/1,149.58 = 568.28/x
  3. Step 3: Cross multiply
    834.05x = 1,149.58 × 568.28
  4. Step 4: Simplify right side
    834.05x = 653,283.32
  5. Step 5: Solve for x
    x = 653,283.32/834.05
  6. Step 6: Final answer
    x = 783.27

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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.