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Finding the Fourth Proportional to 1,162.04, 1,742.94 and 296.37

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Solution

The fourth proportional to 1,162.04, 1,742.94 and 296.37 is: 444.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.04 : 1,742.94 = 296.37 : x
  2. Step 2: Convert to fraction form
    1,162.04/1,742.94 = 296.37/x
  3. Step 3: Cross multiply
    1,162.04x = 1,742.94 × 296.37
  4. Step 4: Simplify right side
    1,162.04x = 516,555.13
  5. Step 5: Solve for x
    x = 516,555.13/1,162.04
  6. Step 6: Final answer
    x = 444.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.