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Finding the Fourth Proportional to 1,144.07, 1,578.80 and 646.87

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Solution

The fourth proportional to 1,144.07, 1,578.80 and 646.87 is: 892.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.07 : 1,578.80 = 646.87 : x
  2. Step 2: Convert to fraction form
    1,144.07/1,578.80 = 646.87/x
  3. Step 3: Cross multiply
    1,144.07x = 1,578.80 × 646.87
  4. Step 4: Simplify right side
    1,144.07x = 1,021,272.79
  5. Step 5: Solve for x
    x = 1,021,272.79/1,144.07
  6. Step 6: Final answer
    x = 892.67

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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.