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Finding the Fourth Proportional to 833.06, 1,150.02 and 572.42

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Solution

The fourth proportional to 833.06, 1,150.02 and 572.42 is: 790.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.06 : 1,150.02 = 572.42 : x
  2. Step 2: Convert to fraction form
    833.06/1,150.02 = 572.42/x
  3. Step 3: Cross multiply
    833.06x = 1,150.02 × 572.42
  4. Step 4: Simplify right side
    833.06x = 658,294.45
  5. Step 5: Solve for x
    x = 658,294.45/833.06
  6. Step 6: Final answer
    x = 790.21

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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.