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Finding the Fourth Proportional to 1,074.50, 1,619.07 and 956.64

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Solution

The fourth proportional to 1,074.50, 1,619.07 and 956.64 is: 1,441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.50 : 1,619.07 = 956.64 : x
  2. Step 2: Convert to fraction form
    1,074.50/1,619.07 = 956.64/x
  3. Step 3: Cross multiply
    1,074.50x = 1,619.07 × 956.64
  4. Step 4: Simplify right side
    1,074.50x = 1,548,862.34
  5. Step 5: Solve for x
    x = 1,548,862.34/1,074.50
  6. Step 6: Final answer
    x = 1,441.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.