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Finding the Fourth Proportional to 1,090.38, 1,504.71 and 593.00

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Solution

The fourth proportional to 1,090.38, 1,504.71 and 593.00 is: 818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.38 : 1,504.71 = 593.00 : x
  2. Step 2: Convert to fraction form
    1,090.38/1,504.71 = 593.00/x
  3. Step 3: Cross multiply
    1,090.38x = 1,504.71 × 593.00
  4. Step 4: Simplify right side
    1,090.38x = 892,297.11
  5. Step 5: Solve for x
    x = 892,297.11/1,090.38
  6. Step 6: Final answer
    x = 818.34

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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.