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Finding the Fourth Proportional to 935.66, 1,292.11 and 702.38

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Solution

The fourth proportional to 935.66, 1,292.11 and 702.38 is: 969.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.66 : 1,292.11 = 702.38 : x
  2. Step 2: Convert to fraction form
    935.66/1,292.11 = 702.38/x
  3. Step 3: Cross multiply
    935.66x = 1,292.11 × 702.38
  4. Step 4: Simplify right side
    935.66x = 907,552.22
  5. Step 5: Solve for x
    x = 907,552.22/935.66
  6. Step 6: Final answer
    x = 969.96

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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.