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Finding the Fourth Proportional to 838.86, 1,157.06 and 590.20

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Solution

The fourth proportional to 838.86, 1,157.06 and 590.20 is: 814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.86 : 1,157.06 = 590.20 : x
  2. Step 2: Convert to fraction form
    838.86/1,157.06 = 590.20/x
  3. Step 3: Cross multiply
    838.86x = 1,157.06 × 590.20
  4. Step 4: Simplify right side
    838.86x = 682,896.81
  5. Step 5: Solve for x
    x = 682,896.81/838.86
  6. Step 6: Final answer
    x = 814.08

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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.