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Finding the Fourth Proportional to 1,147.71, 1,583.87 and 650.33

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Solution

The fourth proportional to 1,147.71, 1,583.87 and 650.33 is: 897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.71 : 1,583.87 = 650.33 : x
  2. Step 2: Convert to fraction form
    1,147.71/1,583.87 = 650.33/x
  3. Step 3: Cross multiply
    1,147.71x = 1,583.87 × 650.33
  4. Step 4: Simplify right side
    1,147.71x = 1,030,038.83
  5. Step 5: Solve for x
    x = 1,030,038.83/1,147.71
  6. Step 6: Final answer
    x = 897.47

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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.