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Finding the Fourth Proportional to 1,015.08, 1,522.72 and 284.68

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Solution

The fourth proportional to 1,015.08, 1,522.72 and 284.68 is: 427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.08 : 1,522.72 = 284.68 : x
  2. Step 2: Convert to fraction form
    1,015.08/1,522.72 = 284.68/x
  3. Step 3: Cross multiply
    1,015.08x = 1,522.72 × 284.68
  4. Step 4: Simplify right side
    1,015.08x = 433,487.93
  5. Step 5: Solve for x
    x = 433,487.93/1,015.08
  6. Step 6: Final answer
    x = 427.05

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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.