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Finding the Fourth Proportional to 1,025.57, 1,536.89 and 439.76

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Solution

The fourth proportional to 1,025.57, 1,536.89 and 439.76 is: 659.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.57 : 1,536.89 = 439.76 : x
  2. Step 2: Convert to fraction form
    1,025.57/1,536.89 = 439.76/x
  3. Step 3: Cross multiply
    1,025.57x = 1,536.89 × 439.76
  4. Step 4: Simplify right side
    1,025.57x = 675,852.86
  5. Step 5: Solve for x
    x = 675,852.86/1,025.57
  6. Step 6: Final answer
    x = 659.01

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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.