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Finding the Fourth Proportional to 1,585.56, 2,378.46 and 490.04

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Solution

The fourth proportional to 1,585.56, 2,378.46 and 490.04 is: 735.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.56 : 2,378.46 = 490.04 : x
  2. Step 2: Convert to fraction form
    1,585.56/2,378.46 = 490.04/x
  3. Step 3: Cross multiply
    1,585.56x = 2,378.46 × 490.04
  4. Step 4: Simplify right side
    1,585.56x = 1,165,528.65
  5. Step 5: Solve for x
    x = 1,165,528.65/1,585.56
  6. Step 6: Final answer
    x = 735.09

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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.