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Finding the Fourth Proportional to 1,097.71, 1,644.73 and 1,055.04

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Solution

The fourth proportional to 1,097.71, 1,644.73 and 1,055.04 is: 1,580.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.71 : 1,644.73 = 1,055.04 : x
  2. Step 2: Convert to fraction form
    1,097.71/1,644.73 = 1,055.04/x
  3. Step 3: Cross multiply
    1,097.71x = 1,644.73 × 1,055.04
  4. Step 4: Simplify right side
    1,097.71x = 1,735,252.41
  5. Step 5: Solve for x
    x = 1,735,252.41/1,097.71
  6. Step 6: Final answer
    x = 1,580.79

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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.