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Finding the Fourth Proportional to 677.53, 1,014.03 and 579.10

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Solution

The fourth proportional to 677.53, 1,014.03 and 579.10 is: 866.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.53 : 1,014.03 = 579.10 : x
  2. Step 2: Convert to fraction form
    677.53/1,014.03 = 579.10/x
  3. Step 3: Cross multiply
    677.53x = 1,014.03 × 579.10
  4. Step 4: Simplify right side
    677.53x = 587,224.77
  5. Step 5: Solve for x
    x = 587,224.77/677.53
  6. Step 6: Final answer
    x = 866.71

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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.