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Finding the Fourth Proportional to 584.34, 876.54 and 513.90

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Solution

The fourth proportional to 584.34, 876.54 and 513.90 is: 770.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.34 : 876.54 = 513.90 : x
  2. Step 2: Convert to fraction form
    584.34/876.54 = 513.90/x
  3. Step 3: Cross multiply
    584.34x = 876.54 × 513.90
  4. Step 4: Simplify right side
    584.34x = 450,453.91
  5. Step 5: Solve for x
    x = 450,453.91/584.34
  6. Step 6: Final answer
    x = 770.88

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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.