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Finding the Fourth Proportional to 1,015.33, 1,523.06 and 284.97

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Solution

The fourth proportional to 1,015.33, 1,523.06 and 284.97 is: 427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.33 : 1,523.06 = 284.97 : x
  2. Step 2: Convert to fraction form
    1,015.33/1,523.06 = 284.97/x
  3. Step 3: Cross multiply
    1,015.33x = 1,523.06 × 284.97
  4. Step 4: Simplify right side
    1,015.33x = 434,017.37
  5. Step 5: Solve for x
    x = 434,017.37/1,015.33
  6. Step 6: Final answer
    x = 427.46

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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.