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Finding the Fourth Proportional to 1,144.54, 1,577.71 and 701.67

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Solution

The fourth proportional to 1,144.54, 1,577.71 and 701.67 is: 967.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.54 : 1,577.71 = 701.67 : x
  2. Step 2: Convert to fraction form
    1,144.54/1,577.71 = 701.67/x
  3. Step 3: Cross multiply
    1,144.54x = 1,577.71 × 701.67
  4. Step 4: Simplify right side
    1,144.54x = 1,107,031.78
  5. Step 5: Solve for x
    x = 1,107,031.78/1,144.54
  6. Step 6: Final answer
    x = 967.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.