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Finding the Fourth Proportional to 795.68, 1,194.84 and 537.35

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Solution

The fourth proportional to 795.68, 1,194.84 and 537.35 is: 806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.68 : 1,194.84 = 537.35 : x
  2. Step 2: Convert to fraction form
    795.68/1,194.84 = 537.35/x
  3. Step 3: Cross multiply
    795.68x = 1,194.84 × 537.35
  4. Step 4: Simplify right side
    795.68x = 642,041.30
  5. Step 5: Solve for x
    x = 642,041.30/795.68
  6. Step 6: Final answer
    x = 806.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.