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Finding the Fourth Proportional to 1,131.99, 1,697.54 and 455.58

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Solution

The fourth proportional to 1,131.99, 1,697.54 and 455.58 is: 683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.99 : 1,697.54 = 455.58 : x
  2. Step 2: Convert to fraction form
    1,131.99/1,697.54 = 455.58/x
  3. Step 3: Cross multiply
    1,131.99x = 1,697.54 × 455.58
  4. Step 4: Simplify right side
    1,131.99x = 773,365.27
  5. Step 5: Solve for x
    x = 773,365.27/1,131.99
  6. Step 6: Final answer
    x = 683.19

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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.