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Finding the Fourth Proportional to 1,090.19, 1,635.47 and 505.78

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Solution

The fourth proportional to 1,090.19, 1,635.47 and 505.78 is: 758.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.19 : 1,635.47 = 505.78 : x
  2. Step 2: Convert to fraction form
    1,090.19/1,635.47 = 505.78/x
  3. Step 3: Cross multiply
    1,090.19x = 1,635.47 × 505.78
  4. Step 4: Simplify right side
    1,090.19x = 827,188.02
  5. Step 5: Solve for x
    x = 827,188.02/1,090.19
  6. Step 6: Final answer
    x = 758.76

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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.