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Finding the Fourth Proportional to 1,072.04, 1,607.90 and 423.22

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Solution

The fourth proportional to 1,072.04, 1,607.90 and 423.22 is: 634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.04 : 1,607.90 = 423.22 : x
  2. Step 2: Convert to fraction form
    1,072.04/1,607.90 = 423.22/x
  3. Step 3: Cross multiply
    1,072.04x = 1,607.90 × 423.22
  4. Step 4: Simplify right side
    1,072.04x = 680,495.44
  5. Step 5: Solve for x
    x = 680,495.44/1,072.04
  6. Step 6: Final answer
    x = 634.77

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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.