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Finding the Fourth Proportional to 1,419.33, 2,128.68 and 598.23

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Solution

The fourth proportional to 1,419.33, 2,128.68 and 598.23 is: 897.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.33 : 2,128.68 = 598.23 : x
  2. Step 2: Convert to fraction form
    1,419.33/2,128.68 = 598.23/x
  3. Step 3: Cross multiply
    1,419.33x = 2,128.68 × 598.23
  4. Step 4: Simplify right side
    1,419.33x = 1,273,440.24
  5. Step 5: Solve for x
    x = 1,273,440.24/1,419.33
  6. Step 6: Final answer
    x = 897.21

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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.