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Finding the Fourth Proportional to 1,246.28, 1,869.42 and 596.88

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Solution

The fourth proportional to 1,246.28, 1,869.42 and 596.88 is: 895.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.28 : 1,869.42 = 596.88 : x
  2. Step 2: Convert to fraction form
    1,246.28/1,869.42 = 596.88/x
  3. Step 3: Cross multiply
    1,246.28x = 1,869.42 × 596.88
  4. Step 4: Simplify right side
    1,246.28x = 1,115,819.41
  5. Step 5: Solve for x
    x = 1,115,819.41/1,246.28
  6. Step 6: Final answer
    x = 895.32

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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.