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Finding the Fourth Proportional to 1,148, 1,584.24 and 650.48

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Solution

The fourth proportional to 1,148, 1,584.24 and 650.48 is: 897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148 : 1,584.24 = 650.48 : x
  2. Step 2: Convert to fraction form
    1,148/1,584.24 = 650.48/x
  3. Step 3: Cross multiply
    1,148x = 1,584.24 × 650.48
  4. Step 4: Simplify right side
    1,148x = 1,030,516.44
  5. Step 5: Solve for x
    x = 1,030,516.44/1,148
  6. Step 6: Final answer
    x = 897.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.