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Finding the Fourth Proportional to 1,038.85, 1,556.96 and 453.48

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Solution

The fourth proportional to 1,038.85, 1,556.96 and 453.48 is: 679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.85 : 1,556.96 = 453.48 : x
  2. Step 2: Convert to fraction form
    1,038.85/1,556.96 = 453.48/x
  3. Step 3: Cross multiply
    1,038.85x = 1,556.96 × 453.48
  4. Step 4: Simplify right side
    1,038.85x = 706,047.95
  5. Step 5: Solve for x
    x = 706,047.95/1,038.85
  6. Step 6: Final answer
    x = 679.65

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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.