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Finding the Fourth Proportional to 1,166.36, 1,602.40 and 944.62

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Solution

The fourth proportional to 1,166.36, 1,602.40 and 944.62 is: 1,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.36 : 1,602.40 = 944.62 : x
  2. Step 2: Convert to fraction form
    1,166.36/1,602.40 = 944.62/x
  3. Step 3: Cross multiply
    1,166.36x = 1,602.40 × 944.62
  4. Step 4: Simplify right side
    1,166.36x = 1,513,659.09
  5. Step 5: Solve for x
    x = 1,513,659.09/1,166.36
  6. Step 6: Final answer
    x = 1,297.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.