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Finding the Fourth Proportional to 1,090.30, 1,505.78 and 974.43

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Solution

The fourth proportional to 1,090.30, 1,505.78 and 974.43 is: 1,345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.30 : 1,505.78 = 974.43 : x
  2. Step 2: Convert to fraction form
    1,090.30/1,505.78 = 974.43/x
  3. Step 3: Cross multiply
    1,090.30x = 1,505.78 × 974.43
  4. Step 4: Simplify right side
    1,090.30x = 1,467,277.21
  5. Step 5: Solve for x
    x = 1,467,277.21/1,090.30
  6. Step 6: Final answer
    x = 1,345.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.