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Finding the Fourth Proportional to 1,162.02, 1,743.03 and 296.31

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Solution

The fourth proportional to 1,162.02, 1,743.03 and 296.31 is: 444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.02 : 1,743.03 = 296.31 : x
  2. Step 2: Convert to fraction form
    1,162.02/1,743.03 = 296.31/x
  3. Step 3: Cross multiply
    1,162.02x = 1,743.03 × 296.31
  4. Step 4: Simplify right side
    1,162.02x = 516,477.22
  5. Step 5: Solve for x
    x = 516,477.22/1,162.02
  6. Step 6: Final answer
    x = 444.47

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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.