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Finding the Fourth Proportional to 813.97, 1,123.29 and 464.67

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Solution

The fourth proportional to 813.97, 1,123.29 and 464.67 is: 641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.97 : 1,123.29 = 464.67 : x
  2. Step 2: Convert to fraction form
    813.97/1,123.29 = 464.67/x
  3. Step 3: Cross multiply
    813.97x = 1,123.29 × 464.67
  4. Step 4: Simplify right side
    813.97x = 521,959.16
  5. Step 5: Solve for x
    x = 521,959.16/813.97
  6. Step 6: Final answer
    x = 641.25

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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.