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Finding the Fourth Proportional to 812.36, 1,122.04 and 590.96

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Solution

The fourth proportional to 812.36, 1,122.04 and 590.96 is: 816.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.36 : 1,122.04 = 590.96 : x
  2. Step 2: Convert to fraction form
    812.36/1,122.04 = 590.96/x
  3. Step 3: Cross multiply
    812.36x = 1,122.04 × 590.96
  4. Step 4: Simplify right side
    812.36x = 663,080.76
  5. Step 5: Solve for x
    x = 663,080.76/812.36
  6. Step 6: Final answer
    x = 816.24

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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.