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Finding the Fourth Proportional to 702.35, 969.05 and 562.75

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Solution

The fourth proportional to 702.35, 969.05 and 562.75 is: 776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.35 : 969.05 = 562.75 : x
  2. Step 2: Convert to fraction form
    702.35/969.05 = 562.75/x
  3. Step 3: Cross multiply
    702.35x = 969.05 × 562.75
  4. Step 4: Simplify right side
    702.35x = 545,331.87
  5. Step 5: Solve for x
    x = 545,331.87/702.35
  6. Step 6: Final answer
    x = 776.44

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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.