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Finding the Fourth Proportional to 587.52, 809.01 and 512.82

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Solution

The fourth proportional to 587.52, 809.01 and 512.82 is: 706.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.52 : 809.01 = 512.82 : x
  2. Step 2: Convert to fraction form
    587.52/809.01 = 512.82/x
  3. Step 3: Cross multiply
    587.52x = 809.01 × 512.82
  4. Step 4: Simplify right side
    587.52x = 414,876.51
  5. Step 5: Solve for x
    x = 414,876.51/587.52
  6. Step 6: Final answer
    x = 706.15

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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.