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Finding the Fourth Proportional to 1,436.33, 2,154.80 and 696.47

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Solution

The fourth proportional to 1,436.33, 2,154.80 and 696.47 is: 1,044.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.33 : 2,154.80 = 696.47 : x
  2. Step 2: Convert to fraction form
    1,436.33/2,154.80 = 696.47/x
  3. Step 3: Cross multiply
    1,436.33x = 2,154.80 × 696.47
  4. Step 4: Simplify right side
    1,436.33x = 1,500,762.70
  5. Step 5: Solve for x
    x = 1,500,762.70/1,436.33
  6. Step 6: Final answer
    x = 1,044.86

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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.