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Finding the Fourth Proportional to 904.22, 1,362.49 and 745.46

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Solution

The fourth proportional to 904.22, 1,362.49 and 745.46 is: 1,123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.22 : 1,362.49 = 745.46 : x
  2. Step 2: Convert to fraction form
    904.22/1,362.49 = 745.46/x
  3. Step 3: Cross multiply
    904.22x = 1,362.49 × 745.46
  4. Step 4: Simplify right side
    904.22x = 1,015,678.07
  5. Step 5: Solve for x
    x = 1,015,678.07/904.22
  6. Step 6: Final answer
    x = 1,123.26

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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.