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Finding the Fourth Proportional to 716.88, 1,074.54 and 305.52

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Solution

The fourth proportional to 716.88, 1,074.54 and 305.52 is: 457.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.88 : 1,074.54 = 305.52 : x
  2. Step 2: Convert to fraction form
    716.88/1,074.54 = 305.52/x
  3. Step 3: Cross multiply
    716.88x = 1,074.54 × 305.52
  4. Step 4: Simplify right side
    716.88x = 328,293.46
  5. Step 5: Solve for x
    x = 328,293.46/716.88
  6. Step 6: Final answer
    x = 457.95

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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.