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Finding the Fourth Proportional to 1,527.25, 2,107.60 and 828.63

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Solution

The fourth proportional to 1,527.25, 2,107.60 and 828.63 is: 1,143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.25 : 2,107.60 = 828.63 : x
  2. Step 2: Convert to fraction form
    1,527.25/2,107.60 = 828.63/x
  3. Step 3: Cross multiply
    1,527.25x = 2,107.60 × 828.63
  4. Step 4: Simplify right side
    1,527.25x = 1,746,420.59
  5. Step 5: Solve for x
    x = 1,746,420.59/1,527.25
  6. Step 6: Final answer
    x = 1,143.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.