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Finding the Fourth Proportional to 1,017.47, 1,523.32 and 704.42

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Solution

The fourth proportional to 1,017.47, 1,523.32 and 704.42 is: 1,054.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.47 : 1,523.32 = 704.42 : x
  2. Step 2: Convert to fraction form
    1,017.47/1,523.32 = 704.42/x
  3. Step 3: Cross multiply
    1,017.47x = 1,523.32 × 704.42
  4. Step 4: Simplify right side
    1,017.47x = 1,073,059.12
  5. Step 5: Solve for x
    x = 1,073,059.12/1,017.47
  6. Step 6: Final answer
    x = 1,054.63

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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.