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Finding the Fourth Proportional to 1,015.32, 1,522.98 and 784.54

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Solution

The fourth proportional to 1,015.32, 1,522.98 and 784.54 is: 1,176.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.32 : 1,522.98 = 784.54 : x
  2. Step 2: Convert to fraction form
    1,015.32/1,522.98 = 784.54/x
  3. Step 3: Cross multiply
    1,015.32x = 1,522.98 × 784.54
  4. Step 4: Simplify right side
    1,015.32x = 1,194,838.73
  5. Step 5: Solve for x
    x = 1,194,838.73/1,015.32
  6. Step 6: Final answer
    x = 1,176.81

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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.