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Finding the Fourth Proportional to 1,421.68, 2,132.52 and 772.24

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Solution

The fourth proportional to 1,421.68, 2,132.52 and 772.24 is: 1,158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.68 : 2,132.52 = 772.24 : x
  2. Step 2: Convert to fraction form
    1,421.68/2,132.52 = 772.24/x
  3. Step 3: Cross multiply
    1,421.68x = 2,132.52 × 772.24
  4. Step 4: Simplify right side
    1,421.68x = 1,646,817.24
  5. Step 5: Solve for x
    x = 1,646,817.24/1,421.68
  6. Step 6: Final answer
    x = 1,158.36

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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.