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Finding the Fourth Proportional to 1,585.67, 2,376.05 and 708.03

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Solution

The fourth proportional to 1,585.67, 2,376.05 and 708.03 is: 1,060.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.67 : 2,376.05 = 708.03 : x
  2. Step 2: Convert to fraction form
    1,585.67/2,376.05 = 708.03/x
  3. Step 3: Cross multiply
    1,585.67x = 2,376.05 × 708.03
  4. Step 4: Simplify right side
    1,585.67x = 1,682,311.14
  5. Step 5: Solve for x
    x = 1,682,311.14/1,585.67
  6. Step 6: Final answer
    x = 1,060.95

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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.