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Finding the Fourth Proportional to 709.99, 977.72 and 625.54

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Solution

The fourth proportional to 709.99, 977.72 and 625.54 is: 861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.99 : 977.72 = 625.54 : x
  2. Step 2: Convert to fraction form
    709.99/977.72 = 625.54/x
  3. Step 3: Cross multiply
    709.99x = 977.72 × 625.54
  4. Step 4: Simplify right side
    709.99x = 611,599.84
  5. Step 5: Solve for x
    x = 611,599.84/709.99
  6. Step 6: Final answer
    x = 861.42

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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.