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Finding the Fourth Proportional to 1,090.36, 1,635.54 and 310.44

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Solution

The fourth proportional to 1,090.36, 1,635.54 and 310.44 is: 465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.36 : 1,635.54 = 310.44 : x
  2. Step 2: Convert to fraction form
    1,090.36/1,635.54 = 310.44/x
  3. Step 3: Cross multiply
    1,090.36x = 1,635.54 × 310.44
  4. Step 4: Simplify right side
    1,090.36x = 507,737.04
  5. Step 5: Solve for x
    x = 507,737.04/1,090.36
  6. Step 6: Final answer
    x = 465.66

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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.