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Finding the Fourth Proportional to 1,014.12, 1,519.32 and 527.70

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Solution

The fourth proportional to 1,014.12, 1,519.32 and 527.70 is: 790.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.12 : 1,519.32 = 527.70 : x
  2. Step 2: Convert to fraction form
    1,014.12/1,519.32 = 527.70/x
  3. Step 3: Cross multiply
    1,014.12x = 1,519.32 × 527.70
  4. Step 4: Simplify right side
    1,014.12x = 801,745.16
  5. Step 5: Solve for x
    x = 801,745.16/1,014.12
  6. Step 6: Final answer
    x = 790.58

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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.