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Finding the Fourth Proportional to 1,127.14, 1,690.52 and 305.23

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Solution

The fourth proportional to 1,127.14, 1,690.52 and 305.23 is: 457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.14 : 1,690.52 = 305.23 : x
  2. Step 2: Convert to fraction form
    1,127.14/1,690.52 = 305.23/x
  3. Step 3: Cross multiply
    1,127.14x = 1,690.52 × 305.23
  4. Step 4: Simplify right side
    1,127.14x = 515,998.93
  5. Step 5: Solve for x
    x = 515,998.93/1,127.14
  6. Step 6: Final answer
    x = 457.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.