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Finding the Fourth Proportional to 1,568.25, 2,353.41 and 702.54

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Solution

The fourth proportional to 1,568.25, 2,353.41 and 702.54 is: 1,054.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.25 : 2,353.41 = 702.54 : x
  2. Step 2: Convert to fraction form
    1,568.25/2,353.41 = 702.54/x
  3. Step 3: Cross multiply
    1,568.25x = 2,353.41 × 702.54
  4. Step 4: Simplify right side
    1,568.25x = 1,653,364.66
  5. Step 5: Solve for x
    x = 1,653,364.66/1,568.25
  6. Step 6: Final answer
    x = 1,054.27

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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.