Home / 1,408.04-2,112.30-585.89

Finding the Fourth Proportional to 1,408.04, 2,112.30 and 585.89

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Solution

The fourth proportional to 1,408.04, 2,112.30 and 585.89 is: 878.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.04 : 2,112.30 = 585.89 : x
  2. Step 2: Convert to fraction form
    1,408.04/2,112.30 = 585.89/x
  3. Step 3: Cross multiply
    1,408.04x = 2,112.30 × 585.89
  4. Step 4: Simplify right side
    1,408.04x = 1,237,564.89
  5. Step 5: Solve for x
    x = 1,237,564.89/1,408.04
  6. Step 6: Final answer
    x = 878.93

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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.