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Finding the Fourth Proportional to 795.01, 1,194.05 and 722.74

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Solution

The fourth proportional to 795.01, 1,194.05 and 722.74 is: 1,085.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.01 : 1,194.05 = 722.74 : x
  2. Step 2: Convert to fraction form
    795.01/1,194.05 = 722.74/x
  3. Step 3: Cross multiply
    795.01x = 1,194.05 × 722.74
  4. Step 4: Simplify right side
    795.01x = 862,986.52
  5. Step 5: Solve for x
    x = 862,986.52/795.01
  6. Step 6: Final answer
    x = 1,085.51

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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.