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Finding the Fourth Proportional to 716.22, 1,069.97 and 509.18

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Solution

The fourth proportional to 716.22, 1,069.97 and 509.18 is: 760.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.22 : 1,069.97 = 509.18 : x
  2. Step 2: Convert to fraction form
    716.22/1,069.97 = 509.18/x
  3. Step 3: Cross multiply
    716.22x = 1,069.97 × 509.18
  4. Step 4: Simplify right side
    716.22x = 544,799.43
  5. Step 5: Solve for x
    x = 544,799.43/716.22
  6. Step 6: Final answer
    x = 760.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.