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Finding the Fourth Proportional to 682.89, 1,022.54 and 586.01

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Solution

The fourth proportional to 682.89, 1,022.54 and 586.01 is: 877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.89 : 1,022.54 = 586.01 : x
  2. Step 2: Convert to fraction form
    682.89/1,022.54 = 586.01/x
  3. Step 3: Cross multiply
    682.89x = 1,022.54 × 586.01
  4. Step 4: Simplify right side
    682.89x = 599,218.67
  5. Step 5: Solve for x
    x = 599,218.67/682.89
  6. Step 6: Final answer
    x = 877.47

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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.