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Finding the Fourth Proportional to 1,162.21, 1,743.99 and 468.76

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Solution

The fourth proportional to 1,162.21, 1,743.99 and 468.76 is: 703.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.21 : 1,743.99 = 468.76 : x
  2. Step 2: Convert to fraction form
    1,162.21/1,743.99 = 468.76/x
  3. Step 3: Cross multiply
    1,162.21x = 1,743.99 × 468.76
  4. Step 4: Simplify right side
    1,162.21x = 817,512.75
  5. Step 5: Solve for x
    x = 817,512.75/1,162.21
  6. Step 6: Final answer
    x = 703.41

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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.