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Finding the Fourth Proportional to 950.09, 1,310.83 and 530.39

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Solution

The fourth proportional to 950.09, 1,310.83 and 530.39 is: 731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.09 : 1,310.83 = 530.39 : x
  2. Step 2: Convert to fraction form
    950.09/1,310.83 = 530.39/x
  3. Step 3: Cross multiply
    950.09x = 1,310.83 × 530.39
  4. Step 4: Simplify right side
    950.09x = 695,246.84
  5. Step 5: Solve for x
    x = 695,246.84/950.09
  6. Step 6: Final answer
    x = 731.77

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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.