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Finding the Fourth Proportional to 1,436.38, 2,155.20 and 706.66

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Solution

The fourth proportional to 1,436.38, 2,155.20 and 706.66 is: 1,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.38 : 2,155.20 = 706.66 : x
  2. Step 2: Convert to fraction form
    1,436.38/2,155.20 = 706.66/x
  3. Step 3: Cross multiply
    1,436.38x = 2,155.20 × 706.66
  4. Step 4: Simplify right side
    1,436.38x = 1,522,993.63
  5. Step 5: Solve for x
    x = 1,522,993.63/1,436.38
  6. Step 6: Final answer
    x = 1,060.30

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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.