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Finding the Fourth Proportional to 950.22, 1,311.42 and 530.64

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Solution

The fourth proportional to 950.22, 1,311.42 and 530.64 is: 732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.22 : 1,311.42 = 530.64 : x
  2. Step 2: Convert to fraction form
    950.22/1,311.42 = 530.64/x
  3. Step 3: Cross multiply
    950.22x = 1,311.42 × 530.64
  4. Step 4: Simplify right side
    950.22x = 695,891.91
  5. Step 5: Solve for x
    x = 695,891.91/950.22
  6. Step 6: Final answer
    x = 732.35

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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.