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Finding the Fourth Proportional to 833.70, 1,149.17 and 568.05

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Solution

The fourth proportional to 833.70, 1,149.17 and 568.05 is: 783.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.70 : 1,149.17 = 568.05 : x
  2. Step 2: Convert to fraction form
    833.70/1,149.17 = 568.05/x
  3. Step 3: Cross multiply
    833.70x = 1,149.17 × 568.05
  4. Step 4: Simplify right side
    833.70x = 652,786.02
  5. Step 5: Solve for x
    x = 652,786.02/833.70
  6. Step 6: Final answer
    x = 783.00

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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.