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Finding the Fourth Proportional to 1,143.93, 1,578.60 and 646.74

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Solution

The fourth proportional to 1,143.93, 1,578.60 and 646.74 is: 892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.93 : 1,578.60 = 646.74 : x
  2. Step 2: Convert to fraction form
    1,143.93/1,578.60 = 646.74/x
  3. Step 3: Cross multiply
    1,143.93x = 1,578.60 × 646.74
  4. Step 4: Simplify right side
    1,143.93x = 1,020,943.76
  5. Step 5: Solve for x
    x = 1,020,943.76/1,143.93
  6. Step 6: Final answer
    x = 892.49

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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.