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Finding the Fourth Proportional to 1,019.25, 1,529.19 and 586.17

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Solution

The fourth proportional to 1,019.25, 1,529.19 and 586.17 is: 879.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.25 : 1,529.19 = 586.17 : x
  2. Step 2: Convert to fraction form
    1,019.25/1,529.19 = 586.17/x
  3. Step 3: Cross multiply
    1,019.25x = 1,529.19 × 586.17
  4. Step 4: Simplify right side
    1,019.25x = 896,365.30
  5. Step 5: Solve for x
    x = 896,365.30/1,019.25
  6. Step 6: Final answer
    x = 879.44

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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.