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Finding the Fourth Proportional to 1,148.05, 1,584.26 and 650.66

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Solution

The fourth proportional to 1,148.05, 1,584.26 and 650.66 is: 897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.05 : 1,584.26 = 650.66 : x
  2. Step 2: Convert to fraction form
    1,148.05/1,584.26 = 650.66/x
  3. Step 3: Cross multiply
    1,148.05x = 1,584.26 × 650.66
  4. Step 4: Simplify right side
    1,148.05x = 1,030,810.33
  5. Step 5: Solve for x
    x = 1,030,810.33/1,148.05
  6. Step 6: Final answer
    x = 897.88

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