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Finding the Fourth Proportional to 950.85, 1,312.82 and 596.91

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Solution

The fourth proportional to 950.85, 1,312.82 and 596.91 is: 824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.85 : 1,312.82 = 596.91 : x
  2. Step 2: Convert to fraction form
    950.85/1,312.82 = 596.91/x
  3. Step 3: Cross multiply
    950.85x = 1,312.82 × 596.91
  4. Step 4: Simplify right side
    950.85x = 783,632.40
  5. Step 5: Solve for x
    x = 783,632.40/950.85
  6. Step 6: Final answer
    x = 824.14

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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.