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Finding the Fourth Proportional to 677.06, 1,015.65 and 523.10

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Solution

The fourth proportional to 677.06, 1,015.65 and 523.10 is: 784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.06 : 1,015.65 = 523.10 : x
  2. Step 2: Convert to fraction form
    677.06/1,015.65 = 523.10/x
  3. Step 3: Cross multiply
    677.06x = 1,015.65 × 523.10
  4. Step 4: Simplify right side
    677.06x = 531,286.52
  5. Step 5: Solve for x
    x = 531,286.52/677.06
  6. Step 6: Final answer
    x = 784.70

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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.