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Finding the Fourth Proportional to 702.30, 967.22 and 562.18

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Solution

The fourth proportional to 702.30, 967.22 and 562.18 is: 774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.30 : 967.22 = 562.18 : x
  2. Step 2: Convert to fraction form
    702.30/967.22 = 562.18/x
  3. Step 3: Cross multiply
    702.30x = 967.22 × 562.18
  4. Step 4: Simplify right side
    702.30x = 543,751.74
  5. Step 5: Solve for x
    x = 543,751.74/702.30
  6. Step 6: Final answer
    x = 774.24

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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.