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Finding the Fourth Proportional to 587.85, 810.87 and 514.34

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Solution

The fourth proportional to 587.85, 810.87 and 514.34 is: 709.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.85 : 810.87 = 514.34 : x
  2. Step 2: Convert to fraction form
    587.85/810.87 = 514.34/x
  3. Step 3: Cross multiply
    587.85x = 810.87 × 514.34
  4. Step 4: Simplify right side
    587.85x = 417,062.88
  5. Step 5: Solve for x
    x = 417,062.88/587.85
  6. Step 6: Final answer
    x = 709.47

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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.