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Finding the Fourth Proportional to 950.64, 1,426.30 and 463.98

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Solution

The fourth proportional to 950.64, 1,426.30 and 463.98 is: 696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.64 : 1,426.30 = 463.98 : x
  2. Step 2: Convert to fraction form
    950.64/1,426.30 = 463.98/x
  3. Step 3: Cross multiply
    950.64x = 1,426.30 × 463.98
  4. Step 4: Simplify right side
    950.64x = 661,774.67
  5. Step 5: Solve for x
    x = 661,774.67/950.64
  6. Step 6: Final answer
    x = 696.14

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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.