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Finding the Fourth Proportional to 1,024.06, 1,527.46 and 993.32

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Solution

The fourth proportional to 1,024.06, 1,527.46 and 993.32 is: 1,481.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.06 : 1,527.46 = 993.32 : x
  2. Step 2: Convert to fraction form
    1,024.06/1,527.46 = 993.32/x
  3. Step 3: Cross multiply
    1,024.06x = 1,527.46 × 993.32
  4. Step 4: Simplify right side
    1,024.06x = 1,517,256.57
  5. Step 5: Solve for x
    x = 1,517,256.57/1,024.06
  6. Step 6: Final answer
    x = 1,481.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.