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Finding the Fourth Proportional to 702.76, 967.20 and 562.36

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Solution

The fourth proportional to 702.76, 967.20 and 562.36 is: 773.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.76 : 967.20 = 562.36 : x
  2. Step 2: Convert to fraction form
    702.76/967.20 = 562.36/x
  3. Step 3: Cross multiply
    702.76x = 967.20 × 562.36
  4. Step 4: Simplify right side
    702.76x = 543,914.59
  5. Step 5: Solve for x
    x = 543,914.59/702.76
  6. Step 6: Final answer
    x = 773.97

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1.5x scale

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.