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Finding the Fourth Proportional to 1,419.25, 2,128.88 and 393.25

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Solution

The fourth proportional to 1,419.25, 2,128.88 and 393.25 is: 589.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.25 : 2,128.88 = 393.25 : x
  2. Step 2: Convert to fraction form
    1,419.25/2,128.88 = 393.25/x
  3. Step 3: Cross multiply
    1,419.25x = 2,128.88 × 393.25
  4. Step 4: Simplify right side
    1,419.25x = 837,182.06
  5. Step 5: Solve for x
    x = 837,182.06/1,419.25
  6. Step 6: Final answer
    x = 589.88

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Why These Related Problems?

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