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Finding the Fourth Proportional to 1,230.84, 1,846.28 and 652.52

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Solution

The fourth proportional to 1,230.84, 1,846.28 and 652.52 is: 978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.84 : 1,846.28 = 652.52 : x
  2. Step 2: Convert to fraction form
    1,230.84/1,846.28 = 652.52/x
  3. Step 3: Cross multiply
    1,230.84x = 1,846.28 × 652.52
  4. Step 4: Simplify right side
    1,230.84x = 1,204,734.63
  5. Step 5: Solve for x
    x = 1,204,734.63/1,230.84
  6. Step 6: Final answer
    x = 978.79

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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.