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Finding the Fourth Proportional to 1,444.82, 2,167.43 and 457.91

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Solution

The fourth proportional to 1,444.82, 2,167.43 and 457.91 is: 686.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.82 : 2,167.43 = 457.91 : x
  2. Step 2: Convert to fraction form
    1,444.82/2,167.43 = 457.91/x
  3. Step 3: Cross multiply
    1,444.82x = 2,167.43 × 457.91
  4. Step 4: Simplify right side
    1,444.82x = 992,487.87
  5. Step 5: Solve for x
    x = 992,487.87/1,444.82
  6. Step 6: Final answer
    x = 686.93

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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.