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Finding the Fourth Proportional to 1,107.99, 1,660.90 and 377.08

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Solution

The fourth proportional to 1,107.99, 1,660.90 and 377.08 is: 565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.99 : 1,660.90 = 377.08 : x
  2. Step 2: Convert to fraction form
    1,107.99/1,660.90 = 377.08/x
  3. Step 3: Cross multiply
    1,107.99x = 1,660.90 × 377.08
  4. Step 4: Simplify right side
    1,107.99x = 626,292.17
  5. Step 5: Solve for x
    x = 626,292.17/1,107.99
  6. Step 6: Final answer
    x = 565.25

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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.