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Finding the Fourth Proportional to 1,419.63, 2,130.33 and 598.59

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Solution

The fourth proportional to 1,419.63, 2,130.33 and 598.59 is: 898.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.63 : 2,130.33 = 598.59 : x
  2. Step 2: Convert to fraction form
    1,419.63/2,130.33 = 598.59/x
  3. Step 3: Cross multiply
    1,419.63x = 2,130.33 × 598.59
  4. Step 4: Simplify right side
    1,419.63x = 1,275,194.23
  5. Step 5: Solve for x
    x = 1,275,194.23/1,419.63
  6. Step 6: Final answer
    x = 898.26

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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.