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Finding the Fourth Proportional to 1,072.12, 1,608.21 and 341.63

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Solution

The fourth proportional to 1,072.12, 1,608.21 and 341.63 is: 512.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.12 : 1,608.21 = 341.63 : x
  2. Step 2: Convert to fraction form
    1,072.12/1,608.21 = 341.63/x
  3. Step 3: Cross multiply
    1,072.12x = 1,608.21 × 341.63
  4. Step 4: Simplify right side
    1,072.12x = 549,412.78
  5. Step 5: Solve for x
    x = 549,412.78/1,072.12
  6. Step 6: Final answer
    x = 512.45

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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.