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Finding the Fourth Proportional to 1,143.94, 1,578.68 and 646.68

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Solution

The fourth proportional to 1,143.94, 1,578.68 and 646.68 is: 892.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.94 : 1,578.68 = 646.68 : x
  2. Step 2: Convert to fraction form
    1,143.94/1,578.68 = 646.68/x
  3. Step 3: Cross multiply
    1,143.94x = 1,578.68 × 646.68
  4. Step 4: Simplify right side
    1,143.94x = 1,020,900.78
  5. Step 5: Solve for x
    x = 1,020,900.78/1,143.94
  6. Step 6: Final answer
    x = 892.44

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Why These Related Problems?

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