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Finding the Fourth Proportional to 1,433.05, 2,150.25 and 702.22

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Solution

The fourth proportional to 1,433.05, 2,150.25 and 702.22 is: 1,053.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.05 : 2,150.25 = 702.22 : x
  2. Step 2: Convert to fraction form
    1,433.05/2,150.25 = 702.22/x
  3. Step 3: Cross multiply
    1,433.05x = 2,150.25 × 702.22
  4. Step 4: Simplify right side
    1,433.05x = 1,509,948.56
  5. Step 5: Solve for x
    x = 1,509,948.56/1,433.05
  6. Step 6: Final answer
    x = 1,053.66

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