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Finding the Fourth Proportional to 718.20, 989.94 and 577.92

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Solution

The fourth proportional to 718.20, 989.94 and 577.92 is: 796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.20 : 989.94 = 577.92 : x
  2. Step 2: Convert to fraction form
    718.20/989.94 = 577.92/x
  3. Step 3: Cross multiply
    718.20x = 989.94 × 577.92
  4. Step 4: Simplify right side
    718.20x = 572,106.12
  5. Step 5: Solve for x
    x = 572,106.12/718.20
  6. Step 6: Final answer
    x = 796.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.