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Finding the Fourth Proportional to 949.51, 1,424.93 and 462.91

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Solution

The fourth proportional to 949.51, 1,424.93 and 462.91 is: 694.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.51 : 1,424.93 = 462.91 : x
  2. Step 2: Convert to fraction form
    949.51/1,424.93 = 462.91/x
  3. Step 3: Cross multiply
    949.51x = 1,424.93 × 462.91
  4. Step 4: Simplify right side
    949.51x = 659,614.35
  5. Step 5: Solve for x
    x = 659,614.35/949.51
  6. Step 6: Final answer
    x = 694.69

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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.