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Finding the Fourth Proportional to 1,090.50, 1,504.87 and 593.16

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Solution

The fourth proportional to 1,090.50, 1,504.87 and 593.16 is: 818.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.50 : 1,504.87 = 593.16 : x
  2. Step 2: Convert to fraction form
    1,090.50/1,504.87 = 593.16/x
  3. Step 3: Cross multiply
    1,090.50x = 1,504.87 × 593.16
  4. Step 4: Simplify right side
    1,090.50x = 892,625.73
  5. Step 5: Solve for x
    x = 892,625.73/1,090.50
  6. Step 6: Final answer
    x = 818.54

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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.