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Finding the Fourth Proportional to 1,587.06, 2,380.57 and 709.33

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Solution

The fourth proportional to 1,587.06, 2,380.57 and 709.33 is: 1,063.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.06 : 2,380.57 = 709.33 : x
  2. Step 2: Convert to fraction form
    1,587.06/2,380.57 = 709.33/x
  3. Step 3: Cross multiply
    1,587.06x = 2,380.57 × 709.33
  4. Step 4: Simplify right side
    1,587.06x = 1,688,609.72
  5. Step 5: Solve for x
    x = 1,688,609.72/1,587.06
  6. Step 6: Final answer
    x = 1,063.99

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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.