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Finding the Fourth Proportional to 1,528.85, 2,294.49 and 555.23

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Solution

The fourth proportional to 1,528.85, 2,294.49 and 555.23 is: 833.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.85 : 2,294.49 = 555.23 : x
  2. Step 2: Convert to fraction form
    1,528.85/2,294.49 = 555.23/x
  3. Step 3: Cross multiply
    1,528.85x = 2,294.49 × 555.23
  4. Step 4: Simplify right side
    1,528.85x = 1,273,969.68
  5. Step 5: Solve for x
    x = 1,273,969.68/1,528.85
  6. Step 6: Final answer
    x = 833.29

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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.