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Finding the Fourth Proportional to 845.10, 1,164.78 and 833.76

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Solution

The fourth proportional to 845.10, 1,164.78 and 833.76 is: 1,149.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.10 : 1,164.78 = 833.76 : x
  2. Step 2: Convert to fraction form
    845.10/1,164.78 = 833.76/x
  3. Step 3: Cross multiply
    845.10x = 1,164.78 × 833.76
  4. Step 4: Simplify right side
    845.10x = 971,146.97
  5. Step 5: Solve for x
    x = 971,146.97/845.10
  6. Step 6: Final answer
    x = 1,149.15

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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.