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Finding the Fourth Proportional to 677.09, 934.24 and 509.22

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Solution

The fourth proportional to 677.09, 934.24 and 509.22 is: 702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.09 : 934.24 = 509.22 : x
  2. Step 2: Convert to fraction form
    677.09/934.24 = 509.22/x
  3. Step 3: Cross multiply
    677.09x = 934.24 × 509.22
  4. Step 4: Simplify right side
    677.09x = 475,733.69
  5. Step 5: Solve for x
    x = 475,733.69/677.09
  6. Step 6: Final answer
    x = 702.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.