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Finding the Fourth Proportional to 702.07, 969.67 and 535.92

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Solution

The fourth proportional to 702.07, 969.67 and 535.92 is: 740.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.07 : 969.67 = 535.92 : x
  2. Step 2: Convert to fraction form
    702.07/969.67 = 535.92/x
  3. Step 3: Cross multiply
    702.07x = 969.67 × 535.92
  4. Step 4: Simplify right side
    702.07x = 519,662.58
  5. Step 5: Solve for x
    x = 519,662.58/702.07
  6. Step 6: Final answer
    x = 740.19

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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.