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Finding the Fourth Proportional to 1,348.45, 2,021.36 and 690.32

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Solution

The fourth proportional to 1,348.45, 2,021.36 and 690.32 is: 1,034.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.45 : 2,021.36 = 690.32 : x
  2. Step 2: Convert to fraction form
    1,348.45/2,021.36 = 690.32/x
  3. Step 3: Cross multiply
    1,348.45x = 2,021.36 × 690.32
  4. Step 4: Simplify right side
    1,348.45x = 1,395,386.84
  5. Step 5: Solve for x
    x = 1,395,386.84/1,348.45
  6. Step 6: Final answer
    x = 1,034.81

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