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Finding the Fourth Proportional to 1,586.71, 2,380.62 and 709.13

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Solution

The fourth proportional to 1,586.71, 2,380.62 and 709.13 is: 1,063.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.71 : 2,380.62 = 709.13 : x
  2. Step 2: Convert to fraction form
    1,586.71/2,380.62 = 709.13/x
  3. Step 3: Cross multiply
    1,586.71x = 2,380.62 × 709.13
  4. Step 4: Simplify right side
    1,586.71x = 1,688,169.06
  5. Step 5: Solve for x
    x = 1,688,169.06/1,586.71
  6. Step 6: Final answer
    x = 1,063.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.