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Finding the Fourth Proportional to 1,163.82, 1,606.14 and 666.63

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Solution

The fourth proportional to 1,163.82, 1,606.14 and 666.63 is: 919.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.82 : 1,606.14 = 666.63 : x
  2. Step 2: Convert to fraction form
    1,163.82/1,606.14 = 666.63/x
  3. Step 3: Cross multiply
    1,163.82x = 1,606.14 × 666.63
  4. Step 4: Simplify right side
    1,163.82x = 1,070,701.11
  5. Step 5: Solve for x
    x = 1,070,701.11/1,163.82
  6. Step 6: Final answer
    x = 919.99

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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.