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Finding the Fourth Proportional to 769.04, 1,157.71 and 702.08

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Solution

The fourth proportional to 769.04, 1,157.71 and 702.08 is: 1,056.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.04 : 1,157.71 = 702.08 : x
  2. Step 2: Convert to fraction form
    769.04/1,157.71 = 702.08/x
  3. Step 3: Cross multiply
    769.04x = 1,157.71 × 702.08
  4. Step 4: Simplify right side
    769.04x = 812,797.49
  5. Step 5: Solve for x
    x = 812,797.49/769.04
  6. Step 6: Final answer
    x = 1,056.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.