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Finding the Fourth Proportional to 702.78, 1,052.81 and 355.09

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Solution

The fourth proportional to 702.78, 1,052.81 and 355.09 is: 531.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.78 : 1,052.81 = 355.09 : x
  2. Step 2: Convert to fraction form
    702.78/1,052.81 = 355.09/x
  3. Step 3: Cross multiply
    702.78x = 1,052.81 × 355.09
  4. Step 4: Simplify right side
    702.78x = 373,840.53
  5. Step 5: Solve for x
    x = 373,840.53/702.78
  6. Step 6: Final answer
    x = 531.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.