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Finding the Fourth Proportional to 1,090.89, 1,505.43 and 593.52

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Solution

The fourth proportional to 1,090.89, 1,505.43 and 593.52 is: 819.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.89 : 1,505.43 = 593.52 : x
  2. Step 2: Convert to fraction form
    1,090.89/1,505.43 = 593.52/x
  3. Step 3: Cross multiply
    1,090.89x = 1,505.43 × 593.52
  4. Step 4: Simplify right side
    1,090.89x = 893,502.81
  5. Step 5: Solve for x
    x = 893,502.81/1,090.89
  6. Step 6: Final answer
    x = 819.06

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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.