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Finding the Fourth Proportional to 1,035.63, 1,553.89 and 516.15

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Solution

The fourth proportional to 1,035.63, 1,553.89 and 516.15 is: 774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.63 : 1,553.89 = 516.15 : x
  2. Step 2: Convert to fraction form
    1,035.63/1,553.89 = 516.15/x
  3. Step 3: Cross multiply
    1,035.63x = 1,553.89 × 516.15
  4. Step 4: Simplify right side
    1,035.63x = 802,040.32
  5. Step 5: Solve for x
    x = 802,040.32/1,035.63
  6. Step 6: Final answer
    x = 774.45

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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.