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Finding the Fourth Proportional to 1,161.92, 1,742.87 and 296.30

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Solution

The fourth proportional to 1,161.92, 1,742.87 and 296.30 is: 444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.92 : 1,742.87 = 296.30 : x
  2. Step 2: Convert to fraction form
    1,161.92/1,742.87 = 296.30/x
  3. Step 3: Cross multiply
    1,161.92x = 1,742.87 × 296.30
  4. Step 4: Simplify right side
    1,161.92x = 516,412.38
  5. Step 5: Solve for x
    x = 516,412.38/1,161.92
  6. Step 6: Final answer
    x = 444.45

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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.