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Finding the Fourth Proportional to 950.53, 1,426.20 and 463.59

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Solution

The fourth proportional to 950.53, 1,426.20 and 463.59 is: 695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.53 : 1,426.20 = 463.59 : x
  2. Step 2: Convert to fraction form
    950.53/1,426.20 = 463.59/x
  3. Step 3: Cross multiply
    950.53x = 1,426.20 × 463.59
  4. Step 4: Simplify right side
    950.53x = 661,172.06
  5. Step 5: Solve for x
    x = 661,172.06/950.53
  6. Step 6: Final answer
    x = 695.58

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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.