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Finding the Fourth Proportional to 1,030.82, 1,546.22 and 346.82

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Solution

The fourth proportional to 1,030.82, 1,546.22 and 346.82 is: 520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.82 : 1,546.22 = 346.82 : x
  2. Step 2: Convert to fraction form
    1,030.82/1,546.22 = 346.82/x
  3. Step 3: Cross multiply
    1,030.82x = 1,546.22 × 346.82
  4. Step 4: Simplify right side
    1,030.82x = 536,260.02
  5. Step 5: Solve for x
    x = 536,260.02/1,030.82
  6. Step 6: Final answer
    x = 520.23

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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.