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Finding the Fourth Proportional to 849.75, 1,174.11 and 702.12

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Solution

The fourth proportional to 849.75, 1,174.11 and 702.12 is: 970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.75 : 1,174.11 = 702.12 : x
  2. Step 2: Convert to fraction form
    849.75/1,174.11 = 702.12/x
  3. Step 3: Cross multiply
    849.75x = 1,174.11 × 702.12
  4. Step 4: Simplify right side
    849.75x = 824,366.11
  5. Step 5: Solve for x
    x = 824,366.11/849.75
  6. Step 6: Final answer
    x = 970.13

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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.