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Finding the Fourth Proportional to 616.69, 925.04 and 514.05

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Solution

The fourth proportional to 616.69, 925.04 and 514.05 is: 771.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.69 : 925.04 = 514.05 : x
  2. Step 2: Convert to fraction form
    616.69/925.04 = 514.05/x
  3. Step 3: Cross multiply
    616.69x = 925.04 × 514.05
  4. Step 4: Simplify right side
    616.69x = 475,516.81
  5. Step 5: Solve for x
    x = 475,516.81/616.69
  6. Step 6: Final answer
    x = 771.08

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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.