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Finding the Fourth Proportional to 677.08, 935.13 and 508.74

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Solution

The fourth proportional to 677.08, 935.13 and 508.74 is: 702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.08 : 935.13 = 508.74 : x
  2. Step 2: Convert to fraction form
    677.08/935.13 = 508.74/x
  3. Step 3: Cross multiply
    677.08x = 935.13 × 508.74
  4. Step 4: Simplify right side
    677.08x = 475,738.04
  5. Step 5: Solve for x
    x = 475,738.04/677.08
  6. Step 6: Final answer
    x = 702.63

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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.