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Finding the Fourth Proportional to 1,184.98, 1,635.25 and 653.91

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Solution

The fourth proportional to 1,184.98, 1,635.25 and 653.91 is: 902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.98 : 1,635.25 = 653.91 : x
  2. Step 2: Convert to fraction form
    1,184.98/1,635.25 = 653.91/x
  3. Step 3: Cross multiply
    1,184.98x = 1,635.25 × 653.91
  4. Step 4: Simplify right side
    1,184.98x = 1,069,310.42
  5. Step 5: Solve for x
    x = 1,069,310.42/1,184.98
  6. Step 6: Final answer
    x = 902.39

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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.