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Finding the Fourth Proportional to 1,242.57, 1,714.32 and 745.14

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Solution

The fourth proportional to 1,242.57, 1,714.32 and 745.14 is: 1,028.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.57 : 1,714.32 = 745.14 : x
  2. Step 2: Convert to fraction form
    1,242.57/1,714.32 = 745.14/x
  3. Step 3: Cross multiply
    1,242.57x = 1,714.32 × 745.14
  4. Step 4: Simplify right side
    1,242.57x = 1,277,408.40
  5. Step 5: Solve for x
    x = 1,277,408.40/1,242.57
  6. Step 6: Final answer
    x = 1,028.04

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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.