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Finding the Fourth Proportional to 1,184.94, 1,635.18 and 653.84

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Solution

The fourth proportional to 1,184.94, 1,635.18 and 653.84 is: 902.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.94 : 1,635.18 = 653.84 : x
  2. Step 2: Convert to fraction form
    1,184.94/1,635.18 = 653.84/x
  3. Step 3: Cross multiply
    1,184.94x = 1,635.18 × 653.84
  4. Step 4: Simplify right side
    1,184.94x = 1,069,146.09
  5. Step 5: Solve for x
    x = 1,069,146.09/1,184.94
  6. Step 6: Final answer
    x = 902.28

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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.