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Finding the Fourth Proportional to 1,152.54, 1,730.57 and 1,016.73

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Solution

The fourth proportional to 1,152.54, 1,730.57 and 1,016.73 is: 1,526.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.54 : 1,730.57 = 1,016.73 : x
  2. Step 2: Convert to fraction form
    1,152.54/1,730.57 = 1,016.73/x
  3. Step 3: Cross multiply
    1,152.54x = 1,730.57 × 1,016.73
  4. Step 4: Simplify right side
    1,152.54x = 1,759,517.35
  5. Step 5: Solve for x
    x = 1,759,517.35/1,152.54
  6. Step 6: Final answer
    x = 1,526.64

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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.