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Finding the Fourth Proportional to 1,053.16, 1,578.54 and 641.39

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Solution

The fourth proportional to 1,053.16, 1,578.54 and 641.39 is: 961.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.16 : 1,578.54 = 641.39 : x
  2. Step 2: Convert to fraction form
    1,053.16/1,578.54 = 641.39/x
  3. Step 3: Cross multiply
    1,053.16x = 1,578.54 × 641.39
  4. Step 4: Simplify right side
    1,053.16x = 1,012,450.68
  5. Step 5: Solve for x
    x = 1,012,450.68/1,053.16
  6. Step 6: Final answer
    x = 961.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.