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Finding the Fourth Proportional to 1,039.46, 1,558.46 and 389.63

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Solution

The fourth proportional to 1,039.46, 1,558.46 and 389.63 is: 584.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.46 : 1,558.46 = 389.63 : x
  2. Step 2: Convert to fraction form
    1,039.46/1,558.46 = 389.63/x
  3. Step 3: Cross multiply
    1,039.46x = 1,558.46 × 389.63
  4. Step 4: Simplify right side
    1,039.46x = 607,213.03
  5. Step 5: Solve for x
    x = 607,213.03/1,039.46
  6. Step 6: Final answer
    x = 584.16

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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.