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Finding the Fourth Proportional to 813.84, 1,220.76 and 596.76

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Solution

The fourth proportional to 813.84, 1,220.76 and 596.76 is: 895.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.84 : 1,220.76 = 596.76 : x
  2. Step 2: Convert to fraction form
    813.84/1,220.76 = 596.76/x
  3. Step 3: Cross multiply
    813.84x = 1,220.76 × 596.76
  4. Step 4: Simplify right side
    813.84x = 728,500.74
  5. Step 5: Solve for x
    x = 728,500.74/813.84
  6. Step 6: Final answer
    x = 895.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.