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Finding the Fourth Proportional to 586.98, 882.09 and 551.34

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Solution

The fourth proportional to 586.98, 882.09 and 551.34 is: 828.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.98 : 882.09 = 551.34 : x
  2. Step 2: Convert to fraction form
    586.98/882.09 = 551.34/x
  3. Step 3: Cross multiply
    586.98x = 882.09 × 551.34
  4. Step 4: Simplify right side
    586.98x = 486,331.50
  5. Step 5: Solve for x
    x = 486,331.50/586.98
  6. Step 6: Final answer
    x = 828.53

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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.