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Finding the Fourth Proportional to 1,704.63, 2,554.56 and 716.40

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Solution

The fourth proportional to 1,704.63, 2,554.56 and 716.40 is: 1,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.63 : 2,554.56 = 716.40 : x
  2. Step 2: Convert to fraction form
    1,704.63/2,554.56 = 716.40/x
  3. Step 3: Cross multiply
    1,704.63x = 2,554.56 × 716.40
  4. Step 4: Simplify right side
    1,704.63x = 1,830,086.78
  5. Step 5: Solve for x
    x = 1,830,086.78/1,704.63
  6. Step 6: Final answer
    x = 1,073.60

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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.