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Finding the Fourth Proportional to 813.29, 1,122.33 and 464.00

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Solution

The fourth proportional to 813.29, 1,122.33 and 464.00 is: 640.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.29 : 1,122.33 = 464.00 : x
  2. Step 2: Convert to fraction form
    813.29/1,122.33 = 464.00/x
  3. Step 3: Cross multiply
    813.29x = 1,122.33 × 464.00
  4. Step 4: Simplify right side
    813.29x = 520,755.51
  5. Step 5: Solve for x
    x = 520,755.51/813.29
  6. Step 6: Final answer
    x = 640.31

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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.