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Finding the Fourth Proportional to 833.91, 1,150.37 and 774.54

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Solution

The fourth proportional to 833.91, 1,150.37 and 774.54 is: 1,068.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.91 : 1,150.37 = 774.54 : x
  2. Step 2: Convert to fraction form
    833.91/1,150.37 = 774.54/x
  3. Step 3: Cross multiply
    833.91x = 1,150.37 × 774.54
  4. Step 4: Simplify right side
    833.91x = 891,003.71
  5. Step 5: Solve for x
    x = 891,003.71/833.91
  6. Step 6: Final answer
    x = 1,068.47

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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.