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Finding the Fourth Proportional to 1,037.28, 1,556.20 and 452.33

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Solution

The fourth proportional to 1,037.28, 1,556.20 and 452.33 is: 678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.28 : 1,556.20 = 452.33 : x
  2. Step 2: Convert to fraction form
    1,037.28/1,556.20 = 452.33/x
  3. Step 3: Cross multiply
    1,037.28x = 1,556.20 × 452.33
  4. Step 4: Simplify right side
    1,037.28x = 703,918.24
  5. Step 5: Solve for x
    x = 703,918.24/1,037.28
  6. Step 6: Final answer
    x = 678.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.