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Finding the Fourth Proportional to 1,184.97, 1,635.27 and 653.87

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Solution

The fourth proportional to 1,184.97, 1,635.27 and 653.87 is: 902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.97 : 1,635.27 = 653.87 : x
  2. Step 2: Convert to fraction form
    1,184.97/1,635.27 = 653.87/x
  3. Step 3: Cross multiply
    1,184.97x = 1,635.27 × 653.87
  4. Step 4: Simplify right side
    1,184.97x = 1,069,261.55
  5. Step 5: Solve for x
    x = 1,069,261.55/1,184.97
  6. Step 6: Final answer
    x = 902.36

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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.