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Finding the Fourth Proportional to 934.21, 1,400.56 and 702.65

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Solution

The fourth proportional to 934.21, 1,400.56 and 702.65 is: 1,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.21 : 1,400.56 = 702.65 : x
  2. Step 2: Convert to fraction form
    934.21/1,400.56 = 702.65/x
  3. Step 3: Cross multiply
    934.21x = 1,400.56 × 702.65
  4. Step 4: Simplify right side
    934.21x = 984,105.23
  5. Step 5: Solve for x
    x = 984,105.23/934.21
  6. Step 6: Final answer
    x = 1,053.41

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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.