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Finding the Fourth Proportional to 587.08, 879.54 and 559.14

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Solution

The fourth proportional to 587.08, 879.54 and 559.14 is: 837.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.08 : 879.54 = 559.14 : x
  2. Step 2: Convert to fraction form
    587.08/879.54 = 559.14/x
  3. Step 3: Cross multiply
    587.08x = 879.54 × 559.14
  4. Step 4: Simplify right side
    587.08x = 491,786.00
  5. Step 5: Solve for x
    x = 491,786.00/587.08
  6. Step 6: Final answer
    x = 837.68

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Why These Related Problems?

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