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Finding the Fourth Proportional to 1,038.22, 1,556.56 and 453.11

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Solution

The fourth proportional to 1,038.22, 1,556.56 and 453.11 is: 679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.22 : 1,556.56 = 453.11 : x
  2. Step 2: Convert to fraction form
    1,038.22/1,556.56 = 453.11/x
  3. Step 3: Cross multiply
    1,038.22x = 1,556.56 × 453.11
  4. Step 4: Simplify right side
    1,038.22x = 705,296.79
  5. Step 5: Solve for x
    x = 705,296.79/1,038.22
  6. Step 6: Final answer
    x = 679.33

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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.