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Finding the Fourth Proportional to 1,064.12, 1,597.04 and 516.30

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Solution

The fourth proportional to 1,064.12, 1,597.04 and 516.30 is: 774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.12 : 1,597.04 = 516.30 : x
  2. Step 2: Convert to fraction form
    1,064.12/1,597.04 = 516.30/x
  3. Step 3: Cross multiply
    1,064.12x = 1,597.04 × 516.30
  4. Step 4: Simplify right side
    1,064.12x = 824,551.75
  5. Step 5: Solve for x
    x = 824,551.75/1,064.12
  6. Step 6: Final answer
    x = 774.87

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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.