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Finding the Fourth Proportional to 950.96, 1,426.64 and 463.74

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Solution

The fourth proportional to 950.96, 1,426.64 and 463.74 is: 695.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.96 : 1,426.64 = 463.74 : x
  2. Step 2: Convert to fraction form
    950.96/1,426.64 = 463.74/x
  3. Step 3: Cross multiply
    950.96x = 1,426.64 × 463.74
  4. Step 4: Simplify right side
    950.96x = 661,587.71
  5. Step 5: Solve for x
    x = 661,587.71/950.96
  6. Step 6: Final answer
    x = 695.71

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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.