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Finding the Fourth Proportional to 1,090.74, 1,505.22 and 593.40

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Solution

The fourth proportional to 1,090.74, 1,505.22 and 593.40 is: 818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.74 : 1,505.22 = 593.40 : x
  2. Step 2: Convert to fraction form
    1,090.74/1,505.22 = 593.40/x
  3. Step 3: Cross multiply
    1,090.74x = 1,505.22 × 593.40
  4. Step 4: Simplify right side
    1,090.74x = 893,197.55
  5. Step 5: Solve for x
    x = 893,197.55/1,090.74
  6. Step 6: Final answer
    x = 818.89

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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.