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Finding the Fourth Proportional to 589.06, 813.12 and 505.83

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Solution

The fourth proportional to 589.06, 813.12 and 505.83 is: 698.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.06 : 813.12 = 505.83 : x
  2. Step 2: Convert to fraction form
    589.06/813.12 = 505.83/x
  3. Step 3: Cross multiply
    589.06x = 813.12 × 505.83
  4. Step 4: Simplify right side
    589.06x = 411,305.94
  5. Step 5: Solve for x
    x = 411,305.94/589.06
  6. Step 6: Final answer
    x = 698.24

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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.