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Finding the Fourth Proportional to 1,072, 1,607.93 and 341.38

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Solution

The fourth proportional to 1,072, 1,607.93 and 341.38 is: 512.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072 : 1,607.93 = 341.38 : x
  2. Step 2: Convert to fraction form
    1,072/1,607.93 = 341.38/x
  3. Step 3: Cross multiply
    1,072x = 1,607.93 × 341.38
  4. Step 4: Simplify right side
    1,072x = 548,915.14
  5. Step 5: Solve for x
    x = 548,915.14/1,072
  6. Step 6: Final answer
    x = 512.05

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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.