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Finding the Fourth Proportional to 1,149.60, 1,730.60 and 1,047.54

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Solution

The fourth proportional to 1,149.60, 1,730.60 and 1,047.54 is: 1,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.60 : 1,730.60 = 1,047.54 : x
  2. Step 2: Convert to fraction form
    1,149.60/1,730.60 = 1,047.54/x
  3. Step 3: Cross multiply
    1,149.60x = 1,730.60 × 1,047.54
  4. Step 4: Simplify right side
    1,149.60x = 1,812,872.72
  5. Step 5: Solve for x
    x = 1,812,872.72/1,149.60
  6. Step 6: Final answer
    x = 1,576.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.