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Finding the Fourth Proportional to 687.87, 947.58 and 577.29

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Solution

The fourth proportional to 687.87, 947.58 and 577.29 is: 795.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.87 : 947.58 = 577.29 : x
  2. Step 2: Convert to fraction form
    687.87/947.58 = 577.29/x
  3. Step 3: Cross multiply
    687.87x = 947.58 × 577.29
  4. Step 4: Simplify right side
    687.87x = 547,028.46
  5. Step 5: Solve for x
    x = 547,028.46/687.87
  6. Step 6: Final answer
    x = 795.25

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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.