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Finding the Fourth Proportional to 1,053.22, 1,578.10 and 743.57

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Solution

The fourth proportional to 1,053.22, 1,578.10 and 743.57 is: 1,114.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.22 : 1,578.10 = 743.57 : x
  2. Step 2: Convert to fraction form
    1,053.22/1,578.10 = 743.57/x
  3. Step 3: Cross multiply
    1,053.22x = 1,578.10 × 743.57
  4. Step 4: Simplify right side
    1,053.22x = 1,173,427.82
  5. Step 5: Solve for x
    x = 1,173,427.82/1,053.22
  6. Step 6: Final answer
    x = 1,114.13

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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.