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Finding the Fourth Proportional to 1,067.40, 1,601.64 and 702.36

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Solution

The fourth proportional to 1,067.40, 1,601.64 and 702.36 is: 1,053.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.40 : 1,601.64 = 702.36 : x
  2. Step 2: Convert to fraction form
    1,067.40/1,601.64 = 702.36/x
  3. Step 3: Cross multiply
    1,067.40x = 1,601.64 × 702.36
  4. Step 4: Simplify right side
    1,067.40x = 1,124,927.87
  5. Step 5: Solve for x
    x = 1,124,927.87/1,067.40
  6. Step 6: Final answer
    x = 1,053.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.