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Finding the Fourth Proportional to 1,431.47, 1,975.46 and 801.97

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Solution

The fourth proportional to 1,431.47, 1,975.46 and 801.97 is: 1,106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.47 : 1,975.46 = 801.97 : x
  2. Step 2: Convert to fraction form
    1,431.47/1,975.46 = 801.97/x
  3. Step 3: Cross multiply
    1,431.47x = 1,975.46 × 801.97
  4. Step 4: Simplify right side
    1,431.47x = 1,584,250.71
  5. Step 5: Solve for x
    x = 1,584,250.71/1,431.47
  6. Step 6: Final answer
    x = 1,106.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.