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Finding the Fourth Proportional to 702.74, 969.75 and 403.78

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Solution

The fourth proportional to 702.74, 969.75 and 403.78 is: 557.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.74 : 969.75 = 403.78 : x
  2. Step 2: Convert to fraction form
    702.74/969.75 = 403.78/x
  3. Step 3: Cross multiply
    702.74x = 969.75 × 403.78
  4. Step 4: Simplify right side
    702.74x = 391,563.64
  5. Step 5: Solve for x
    x = 391,563.64/702.74
  6. Step 6: Final answer
    x = 557.20

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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.