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Finding the Fourth Proportional to 677.66, 1,014.72 and 580.78

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Solution

The fourth proportional to 677.66, 1,014.72 and 580.78 is: 869.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.66 : 1,014.72 = 580.78 : x
  2. Step 2: Convert to fraction form
    677.66/1,014.72 = 580.78/x
  3. Step 3: Cross multiply
    677.66x = 1,014.72 × 580.78
  4. Step 4: Simplify right side
    677.66x = 589,329.08
  5. Step 5: Solve for x
    x = 589,329.08/677.66
  6. Step 6: Final answer
    x = 869.65

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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.