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Finding the Fourth Proportional to 587.82, 810.54 and 500.34

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Solution

The fourth proportional to 587.82, 810.54 and 500.34 is: 689.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.82 : 810.54 = 500.34 : x
  2. Step 2: Convert to fraction form
    587.82/810.54 = 500.34/x
  3. Step 3: Cross multiply
    587.82x = 810.54 × 500.34
  4. Step 4: Simplify right side
    587.82x = 405,545.58
  5. Step 5: Solve for x
    x = 405,545.58/587.82
  6. Step 6: Final answer
    x = 689.91

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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.