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Finding the Fourth Proportional to 1,147.57, 1,583.56 and 650.20

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Solution

The fourth proportional to 1,147.57, 1,583.56 and 650.20 is: 897.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.57 : 1,583.56 = 650.20 : x
  2. Step 2: Convert to fraction form
    1,147.57/1,583.56 = 650.20/x
  3. Step 3: Cross multiply
    1,147.57x = 1,583.56 × 650.20
  4. Step 4: Simplify right side
    1,147.57x = 1,029,619.54
  5. Step 5: Solve for x
    x = 1,029,619.54/1,147.57
  6. Step 6: Final answer
    x = 897.22

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1.5x scale

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.