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Finding the Fourth Proportional to 1,168.90, 1,611.93 and 906.82

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Solution

The fourth proportional to 1,168.90, 1,611.93 and 906.82 is: 1,250.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.90 : 1,611.93 = 906.82 : x
  2. Step 2: Convert to fraction form
    1,168.90/1,611.93 = 906.82/x
  3. Step 3: Cross multiply
    1,168.90x = 1,611.93 × 906.82
  4. Step 4: Simplify right side
    1,168.90x = 1,461,730.36
  5. Step 5: Solve for x
    x = 1,461,730.36/1,168.90
  6. Step 6: Final answer
    x = 1,250.52

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Why These Related Problems?

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