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Finding the Fourth Proportional to 597.62, 895.62 and 516.62

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Solution

The fourth proportional to 597.62, 895.62 and 516.62 is: 774.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.62 : 895.62 = 516.62 : x
  2. Step 2: Convert to fraction form
    597.62/895.62 = 516.62/x
  3. Step 3: Cross multiply
    597.62x = 895.62 × 516.62
  4. Step 4: Simplify right side
    597.62x = 462,695.20
  5. Step 5: Solve for x
    x = 462,695.20/597.62
  6. Step 6: Final answer
    x = 774.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.