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Finding the Fourth Proportional to 1,421.33, 2,132.00 and 544.23

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Solution

The fourth proportional to 1,421.33, 2,132.00 and 544.23 is: 816.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.33 : 2,132.00 = 544.23 : x
  2. Step 2: Convert to fraction form
    1,421.33/2,132.00 = 544.23/x
  3. Step 3: Cross multiply
    1,421.33x = 2,132.00 × 544.23
  4. Step 4: Simplify right side
    1,421.33x = 1,160,299.72
  5. Step 5: Solve for x
    x = 1,160,299.72/1,421.33
  6. Step 6: Final answer
    x = 816.35

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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.