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Finding the Fourth Proportional to 596.12, 895.53 and 514.11

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Solution

The fourth proportional to 596.12, 895.53 and 514.11 is: 772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.12 : 895.53 = 514.11 : x
  2. Step 2: Convert to fraction form
    596.12/895.53 = 514.11/x
  3. Step 3: Cross multiply
    596.12x = 895.53 × 514.11
  4. Step 4: Simplify right side
    596.12x = 460,400.93
  5. Step 5: Solve for x
    x = 460,400.93/596.12
  6. Step 6: Final answer
    x = 772.33

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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.