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Finding the Fourth Proportional to 833.70, 1,150.65 and 613.79

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Solution

The fourth proportional to 833.70, 1,150.65 and 613.79 is: 847.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.70 : 1,150.65 = 613.79 : x
  2. Step 2: Convert to fraction form
    833.70/1,150.65 = 613.79/x
  3. Step 3: Cross multiply
    833.70x = 1,150.65 × 613.79
  4. Step 4: Simplify right side
    833.70x = 706,251.71
  5. Step 5: Solve for x
    x = 706,251.71/833.70
  6. Step 6: Final answer
    x = 847.13

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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.