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Finding the Fourth Proportional to 1,586.30, 2,378.22 and 490

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Solution

The fourth proportional to 1,586.30, 2,378.22 and 490 is: 734.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.30 : 2,378.22 = 490 : x
  2. Step 2: Convert to fraction form
    1,586.30/2,378.22 = 490/x
  3. Step 3: Cross multiply
    1,586.30x = 2,378.22 × 490
  4. Step 4: Simplify right side
    1,586.30x = 1,165,327.80
  5. Step 5: Solve for x
    x = 1,165,327.80/1,586.30
  6. Step 6: Final answer
    x = 734.62

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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.