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Finding the Fourth Proportional to 702.70, 967.52 and 597.58

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Solution

The fourth proportional to 702.70, 967.52 and 597.58 is: 822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.70 : 967.52 = 597.58 : x
  2. Step 2: Convert to fraction form
    702.70/967.52 = 597.58/x
  3. Step 3: Cross multiply
    702.70x = 967.52 × 597.58
  4. Step 4: Simplify right side
    702.70x = 578,170.60
  5. Step 5: Solve for x
    x = 578,170.60/702.70
  6. Step 6: Final answer
    x = 822.78

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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.