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Finding the Fourth Proportional to 1,097.74, 1,652.83 and 968.59

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Solution

The fourth proportional to 1,097.74, 1,652.83 and 968.59 is: 1,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.74 : 1,652.83 = 968.59 : x
  2. Step 2: Convert to fraction form
    1,097.74/1,652.83 = 968.59/x
  3. Step 3: Cross multiply
    1,097.74x = 1,652.83 × 968.59
  4. Step 4: Simplify right side
    1,097.74x = 1,600,914.61
  5. Step 5: Solve for x
    x = 1,600,914.61/1,097.74
  6. Step 6: Final answer
    x = 1,458.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.