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Finding the Fourth Proportional to 813.30, 1,121.67 and 626.58

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Solution

The fourth proportional to 813.30, 1,121.67 and 626.58 is: 864.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.30 : 1,121.67 = 626.58 : x
  2. Step 2: Convert to fraction form
    813.30/1,121.67 = 626.58/x
  3. Step 3: Cross multiply
    813.30x = 1,121.67 × 626.58
  4. Step 4: Simplify right side
    813.30x = 702,815.99
  5. Step 5: Solve for x
    x = 702,815.99/813.30
  6. Step 6: Final answer
    x = 864.15

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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.