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Finding the Fourth Proportional to 1,353.16, 2,029.74 and 428.71

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Solution

The fourth proportional to 1,353.16, 2,029.74 and 428.71 is: 643.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.16 : 2,029.74 = 428.71 : x
  2. Step 2: Convert to fraction form
    1,353.16/2,029.74 = 428.71/x
  3. Step 3: Cross multiply
    1,353.16x = 2,029.74 × 428.71
  4. Step 4: Simplify right side
    1,353.16x = 870,169.37
  5. Step 5: Solve for x
    x = 870,169.37/1,353.16
  6. Step 6: Final answer
    x = 643.07

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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.