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Finding the Fourth Proportional to 716.56, 989.63 and 577.14

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Solution

The fourth proportional to 716.56, 989.63 and 577.14 is: 797.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.56 : 989.63 = 577.14 : x
  2. Step 2: Convert to fraction form
    716.56/989.63 = 577.14/x
  3. Step 3: Cross multiply
    716.56x = 989.63 × 577.14
  4. Step 4: Simplify right side
    716.56x = 571,155.06
  5. Step 5: Solve for x
    x = 571,155.06/716.56
  6. Step 6: Final answer
    x = 797.08

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Why These Related Problems?

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