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Finding the Fourth Proportional to 1,015.30, 1,522.93 and 321.96

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Solution

The fourth proportional to 1,015.30, 1,522.93 and 321.96 is: 482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.30 : 1,522.93 = 321.96 : x
  2. Step 2: Convert to fraction form
    1,015.30/1,522.93 = 321.96/x
  3. Step 3: Cross multiply
    1,015.30x = 1,522.93 × 321.96
  4. Step 4: Simplify right side
    1,015.30x = 490,322.54
  5. Step 5: Solve for x
    x = 490,322.54/1,015.30
  6. Step 6: Final answer
    x = 482.93

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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.