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Finding the Fourth Proportional to 702.67, 969.69 and 556.33

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Solution

The fourth proportional to 702.67, 969.69 and 556.33 is: 767.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.67 : 969.69 = 556.33 : x
  2. Step 2: Convert to fraction form
    702.67/969.69 = 556.33/x
  3. Step 3: Cross multiply
    702.67x = 969.69 × 556.33
  4. Step 4: Simplify right side
    702.67x = 539,467.64
  5. Step 5: Solve for x
    x = 539,467.64/702.67
  6. Step 6: Final answer
    x = 767.74

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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.