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Finding the Fourth Proportional to 1,185.02, 1,635.36 and 742.88

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Solution

The fourth proportional to 1,185.02, 1,635.36 and 742.88 is: 1,025.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.02 : 1,635.36 = 742.88 : x
  2. Step 2: Convert to fraction form
    1,185.02/1,635.36 = 742.88/x
  3. Step 3: Cross multiply
    1,185.02x = 1,635.36 × 742.88
  4. Step 4: Simplify right side
    1,185.02x = 1,214,876.24
  5. Step 5: Solve for x
    x = 1,214,876.24/1,185.02
  6. Step 6: Final answer
    x = 1,025.19

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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.