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Finding the Fourth Proportional to 1,389.35, 2,083.75 and 402.28

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Solution

The fourth proportional to 1,389.35, 2,083.75 and 402.28 is: 603.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.35 : 2,083.75 = 402.28 : x
  2. Step 2: Convert to fraction form
    1,389.35/2,083.75 = 402.28/x
  3. Step 3: Cross multiply
    1,389.35x = 2,083.75 × 402.28
  4. Step 4: Simplify right side
    1,389.35x = 838,250.95
  5. Step 5: Solve for x
    x = 838,250.95/1,389.35
  6. Step 6: Final answer
    x = 603.34

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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.