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Finding the Fourth Proportional to 1,059.79, 1,587.94 and 1,019.29

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Solution

The fourth proportional to 1,059.79, 1,587.94 and 1,019.29 is: 1,527.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.79 : 1,587.94 = 1,019.29 : x
  2. Step 2: Convert to fraction form
    1,059.79/1,587.94 = 1,019.29/x
  3. Step 3: Cross multiply
    1,059.79x = 1,587.94 × 1,019.29
  4. Step 4: Simplify right side
    1,059.79x = 1,618,568.67
  5. Step 5: Solve for x
    x = 1,618,568.67/1,059.79
  6. Step 6: Final answer
    x = 1,527.26

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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.