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Finding the Fourth Proportional to 950.64, 1,311.90 and 530.97

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Solution

The fourth proportional to 950.64, 1,311.90 and 530.97 is: 732.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.64 : 1,311.90 = 530.97 : x
  2. Step 2: Convert to fraction form
    950.64/1,311.90 = 530.97/x
  3. Step 3: Cross multiply
    950.64x = 1,311.90 × 530.97
  4. Step 4: Simplify right side
    950.64x = 696,579.54
  5. Step 5: Solve for x
    x = 696,579.54/950.64
  6. Step 6: Final answer
    x = 732.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.