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Finding the Fourth Proportional to 1,323.78, 1,984.59 and 890.70

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Solution

The fourth proportional to 1,323.78, 1,984.59 and 890.70 is: 1,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.78 : 1,984.59 = 890.70 : x
  2. Step 2: Convert to fraction form
    1,323.78/1,984.59 = 890.70/x
  3. Step 3: Cross multiply
    1,323.78x = 1,984.59 × 890.70
  4. Step 4: Simplify right side
    1,323.78x = 1,767,674.31
  5. Step 5: Solve for x
    x = 1,767,674.31/1,323.78
  6. Step 6: Final answer
    x = 1,335.32

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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.