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Finding the Fourth Proportional to 694.32, 959.52 and 508.02

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Solution

The fourth proportional to 694.32, 959.52 and 508.02 is: 702.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.32 : 959.52 = 508.02 : x
  2. Step 2: Convert to fraction form
    694.32/959.52 = 508.02/x
  3. Step 3: Cross multiply
    694.32x = 959.52 × 508.02
  4. Step 4: Simplify right side
    694.32x = 487,455.35
  5. Step 5: Solve for x
    x = 487,455.35/694.32
  6. Step 6: Final answer
    x = 702.06

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