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Finding the Fourth Proportional to 811.48, 1,120.32 and 590.20

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Solution

The fourth proportional to 811.48, 1,120.32 and 590.20 is: 814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.48 : 1,120.32 = 590.20 : x
  2. Step 2: Convert to fraction form
    811.48/1,120.32 = 590.20/x
  3. Step 3: Cross multiply
    811.48x = 1,120.32 × 590.20
  4. Step 4: Simplify right side
    811.48x = 661,212.86
  5. Step 5: Solve for x
    x = 661,212.86/811.48
  6. Step 6: Final answer
    x = 814.82

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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.