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Finding the Fourth Proportional to 1,145.99, 1,581.50 and 704.14

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Solution

The fourth proportional to 1,145.99, 1,581.50 and 704.14 is: 971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.99 : 1,581.50 = 704.14 : x
  2. Step 2: Convert to fraction form
    1,145.99/1,581.50 = 704.14/x
  3. Step 3: Cross multiply
    1,145.99x = 1,581.50 × 704.14
  4. Step 4: Simplify right side
    1,145.99x = 1,113,597.41
  5. Step 5: Solve for x
    x = 1,113,597.41/1,145.99
  6. Step 6: Final answer
    x = 971.73

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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.