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Finding the Fourth Proportional to 1,162.54, 1,743.87 and 296.86

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Solution

The fourth proportional to 1,162.54, 1,743.87 and 296.86 is: 445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.54 : 1,743.87 = 296.86 : x
  2. Step 2: Convert to fraction form
    1,162.54/1,743.87 = 296.86/x
  3. Step 3: Cross multiply
    1,162.54x = 1,743.87 × 296.86
  4. Step 4: Simplify right side
    1,162.54x = 517,685.25
  5. Step 5: Solve for x
    x = 517,685.25/1,162.54
  6. Step 6: Final answer
    x = 445.31

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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.