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Finding the Fourth Proportional to 1,038.24, 1,556.27 and 452.73

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Solution

The fourth proportional to 1,038.24, 1,556.27 and 452.73 is: 678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.24 : 1,556.27 = 452.73 : x
  2. Step 2: Convert to fraction form
    1,038.24/1,556.27 = 452.73/x
  3. Step 3: Cross multiply
    1,038.24x = 1,556.27 × 452.73
  4. Step 4: Simplify right side
    1,038.24x = 704,567.85
  5. Step 5: Solve for x
    x = 704,567.85/1,038.24
  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.