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Finding the Fourth Proportional to 950.14, 1,311.21 and 530.50

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Solution

The fourth proportional to 950.14, 1,311.21 and 530.50 is: 732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.14 : 1,311.21 = 530.50 : x
  2. Step 2: Convert to fraction form
    950.14/1,311.21 = 530.50/x
  3. Step 3: Cross multiply
    950.14x = 1,311.21 × 530.50
  4. Step 4: Simplify right side
    950.14x = 695,596.91
  5. Step 5: Solve for x
    x = 695,596.91/950.14
  6. Step 6: Final answer
    x = 732.10

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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.