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Finding the Fourth Proportional to 1,097.10, 1,646.03 and 685.75

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Solution

The fourth proportional to 1,097.10, 1,646.03 and 685.75 is: 1,028.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.10 : 1,646.03 = 685.75 : x
  2. Step 2: Convert to fraction form
    1,097.10/1,646.03 = 685.75/x
  3. Step 3: Cross multiply
    1,097.10x = 1,646.03 × 685.75
  4. Step 4: Simplify right side
    1,097.10x = 1,128,765.07
  5. Step 5: Solve for x
    x = 1,128,765.07/1,097.10
  6. Step 6: Final answer
    x = 1,028.86

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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.