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Finding the Fourth Proportional to 836.28, 1,256.34 and 590.05

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Solution

The fourth proportional to 836.28, 1,256.34 and 590.05 is: 886.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.28 : 1,256.34 = 590.05 : x
  2. Step 2: Convert to fraction form
    836.28/1,256.34 = 590.05/x
  3. Step 3: Cross multiply
    836.28x = 1,256.34 × 590.05
  4. Step 4: Simplify right side
    836.28x = 741,307.20
  5. Step 5: Solve for x
    x = 741,307.20/836.28
  6. Step 6: Final answer
    x = 886.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.