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Finding the Fourth Proportional to 1,090.78, 1,635.63 and 465.98

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Solution

The fourth proportional to 1,090.78, 1,635.63 and 465.98 is: 698.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.78 : 1,635.63 = 465.98 : x
  2. Step 2: Convert to fraction form
    1,090.78/1,635.63 = 465.98/x
  3. Step 3: Cross multiply
    1,090.78x = 1,635.63 × 465.98
  4. Step 4: Simplify right side
    1,090.78x = 762,170.87
  5. Step 5: Solve for x
    x = 762,170.87/1,090.78
  6. Step 6: Final answer
    x = 698.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.