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Finding the Fourth Proportional to 823.29, 1,134.57 and 590.01

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Solution

The fourth proportional to 823.29, 1,134.57 and 590.01 is: 813.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.29 : 1,134.57 = 590.01 : x
  2. Step 2: Convert to fraction form
    823.29/1,134.57 = 590.01/x
  3. Step 3: Cross multiply
    823.29x = 1,134.57 × 590.01
  4. Step 4: Simplify right side
    823.29x = 669,407.65
  5. Step 5: Solve for x
    x = 669,407.65/823.29
  6. Step 6: Final answer
    x = 813.09

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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.