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Finding the Fourth Proportional to 702.93, 969.46 and 598.31

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Solution

The fourth proportional to 702.93, 969.46 and 598.31 is: 825.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.93 : 969.46 = 598.31 : x
  2. Step 2: Convert to fraction form
    702.93/969.46 = 598.31/x
  3. Step 3: Cross multiply
    702.93x = 969.46 × 598.31
  4. Step 4: Simplify right side
    702.93x = 580,037.61
  5. Step 5: Solve for x
    x = 580,037.61/702.93
  6. Step 6: Final answer
    x = 825.17

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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.