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Finding the Fourth Proportional to 1,048.84, 1,578.91 and 943

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Solution

The fourth proportional to 1,048.84, 1,578.91 and 943 is: 1,419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.84 : 1,578.91 = 943 : x
  2. Step 2: Convert to fraction form
    1,048.84/1,578.91 = 943/x
  3. Step 3: Cross multiply
    1,048.84x = 1,578.91 × 943
  4. Step 4: Simplify right side
    1,048.84x = 1,488,912.13
  5. Step 5: Solve for x
    x = 1,488,912.13/1,048.84
  6. Step 6: Final answer
    x = 1,419.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.