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Finding the Fourth Proportional to 1,675.29, 2,513.35 and 505.27

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Solution

The fourth proportional to 1,675.29, 2,513.35 and 505.27 is: 758.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.29 : 2,513.35 = 505.27 : x
  2. Step 2: Convert to fraction form
    1,675.29/2,513.35 = 505.27/x
  3. Step 3: Cross multiply
    1,675.29x = 2,513.35 × 505.27
  4. Step 4: Simplify right side
    1,675.29x = 1,269,907.15
  5. Step 5: Solve for x
    x = 1,269,907.15/1,675.29
  6. Step 6: Final answer
    x = 758.02

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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.