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Finding the Fourth Proportional to 1,294.40, 1,938.51 and 745.43

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Solution

The fourth proportional to 1,294.40, 1,938.51 and 745.43 is: 1,116.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.40 : 1,938.51 = 745.43 : x
  2. Step 2: Convert to fraction form
    1,294.40/1,938.51 = 745.43/x
  3. Step 3: Cross multiply
    1,294.40x = 1,938.51 × 745.43
  4. Step 4: Simplify right side
    1,294.40x = 1,445,023.51
  5. Step 5: Solve for x
    x = 1,445,023.51/1,294.40
  6. Step 6: Final answer
    x = 1,116.37

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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.