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Finding the Fourth Proportional to 1,147.70, 1,583.98 and 650.52

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Solution

The fourth proportional to 1,147.70, 1,583.98 and 650.52 is: 897.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.70 : 1,583.98 = 650.52 : x
  2. Step 2: Convert to fraction form
    1,147.70/1,583.98 = 650.52/x
  3. Step 3: Cross multiply
    1,147.70x = 1,583.98 × 650.52
  4. Step 4: Simplify right side
    1,147.70x = 1,030,409.04
  5. Step 5: Solve for x
    x = 1,030,409.04/1,147.70
  6. Step 6: Final answer
    x = 897.80

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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.