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Finding the Fourth Proportional to 647.75, 966.92 and 599.57

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Solution

The fourth proportional to 647.75, 966.92 and 599.57 is: 895.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.75 : 966.92 = 599.57 : x
  2. Step 2: Convert to fraction form
    647.75/966.92 = 599.57/x
  3. Step 3: Cross multiply
    647.75x = 966.92 × 599.57
  4. Step 4: Simplify right side
    647.75x = 579,736.22
  5. Step 5: Solve for x
    x = 579,736.22/647.75
  6. Step 6: Final answer
    x = 895.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.