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Finding the Fourth Proportional to 950.45, 1,311.63 and 530.84

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Solution

The fourth proportional to 950.45, 1,311.63 and 530.84 is: 732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.45 : 1,311.63 = 530.84 : x
  2. Step 2: Convert to fraction form
    950.45/1,311.63 = 530.84/x
  3. Step 3: Cross multiply
    950.45x = 1,311.63 × 530.84
  4. Step 4: Simplify right side
    950.45x = 696,259.11
  5. Step 5: Solve for x
    x = 696,259.11/950.45
  6. Step 6: Final answer
    x = 732.56

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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.