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Finding the Fourth Proportional to 1,162.34, 1,743.46 and 296.63

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Solution

The fourth proportional to 1,162.34, 1,743.46 and 296.63 is: 444.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.34 : 1,743.46 = 296.63 : x
  2. Step 2: Convert to fraction form
    1,162.34/1,743.46 = 296.63/x
  3. Step 3: Cross multiply
    1,162.34x = 1,743.46 × 296.63
  4. Step 4: Simplify right side
    1,162.34x = 517,162.54
  5. Step 5: Solve for x
    x = 517,162.54/1,162.34
  6. Step 6: Final answer
    x = 444.93

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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.