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Finding the Fourth Proportional to 1,034.51, 1,551.43 and 341.05

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Solution

The fourth proportional to 1,034.51, 1,551.43 and 341.05 is: 511.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.51 : 1,551.43 = 341.05 : x
  2. Step 2: Convert to fraction form
    1,034.51/1,551.43 = 341.05/x
  3. Step 3: Cross multiply
    1,034.51x = 1,551.43 × 341.05
  4. Step 4: Simplify right side
    1,034.51x = 529,112.60
  5. Step 5: Solve for x
    x = 529,112.60/1,034.51
  6. Step 6: Final answer
    x = 511.46

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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.