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Finding the Fourth Proportional to 1,071.51, 1,607.49 and 341.14

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Solution

The fourth proportional to 1,071.51, 1,607.49 and 341.14 is: 511.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.51 : 1,607.49 = 341.14 : x
  2. Step 2: Convert to fraction form
    1,071.51/1,607.49 = 341.14/x
  3. Step 3: Cross multiply
    1,071.51x = 1,607.49 × 341.14
  4. Step 4: Simplify right side
    1,071.51x = 548,379.14
  5. Step 5: Solve for x
    x = 548,379.14/1,071.51
  6. Step 6: Final answer
    x = 511.78

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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.