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Finding the Fourth Proportional to 1,143.78, 1,578.65 and 646.44

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Solution

The fourth proportional to 1,143.78, 1,578.65 and 646.44 is: 892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.78 : 1,578.65 = 646.44 : x
  2. Step 2: Convert to fraction form
    1,143.78/1,578.65 = 646.44/x
  3. Step 3: Cross multiply
    1,143.78x = 1,578.65 × 646.44
  4. Step 4: Simplify right side
    1,143.78x = 1,020,502.51
  5. Step 5: Solve for x
    x = 1,020,502.51/1,143.78
  6. Step 6: Final answer
    x = 892.22

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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.