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Finding the Fourth Proportional to 1,586.53, 2,380.35 and 708.95

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Solution

The fourth proportional to 1,586.53, 2,380.35 and 708.95 is: 1,063.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.53 : 2,380.35 = 708.95 : x
  2. Step 2: Convert to fraction form
    1,586.53/2,380.35 = 708.95/x
  3. Step 3: Cross multiply
    1,586.53x = 2,380.35 × 708.95
  4. Step 4: Simplify right side
    1,586.53x = 1,687,537.23
  5. Step 5: Solve for x
    x = 1,687,537.23/1,586.53
  6. Step 6: Final answer
    x = 1,063.67

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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.