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Finding the Fourth Proportional to 708.85, 977.09 and 559.24

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Solution

The fourth proportional to 708.85, 977.09 and 559.24 is: 770.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.85 : 977.09 = 559.24 : x
  2. Step 2: Convert to fraction form
    708.85/977.09 = 559.24/x
  3. Step 3: Cross multiply
    708.85x = 977.09 × 559.24
  4. Step 4: Simplify right side
    708.85x = 546,427.81
  5. Step 5: Solve for x
    x = 546,427.81/708.85
  6. Step 6: Final answer
    x = 770.87

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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.