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Finding the Fourth Proportional to 1,140.15, 1,708.61 and 446.07

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Solution

The fourth proportional to 1,140.15, 1,708.61 and 446.07 is: 668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.15 : 1,708.61 = 446.07 : x
  2. Step 2: Convert to fraction form
    1,140.15/1,708.61 = 446.07/x
  3. Step 3: Cross multiply
    1,140.15x = 1,708.61 × 446.07
  4. Step 4: Simplify right side
    1,140.15x = 762,157.43
  5. Step 5: Solve for x
    x = 762,157.43/1,140.15
  6. Step 6: Final answer
    x = 668.47

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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.