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Finding the Fourth Proportional to 1,166.99, 1,741.95 and 1,028.60

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Solution

The fourth proportional to 1,166.99, 1,741.95 and 1,028.60 is: 1,535.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.99 : 1,741.95 = 1,028.60 : x
  2. Step 2: Convert to fraction form
    1,166.99/1,741.95 = 1,028.60/x
  3. Step 3: Cross multiply
    1,166.99x = 1,741.95 × 1,028.60
  4. Step 4: Simplify right side
    1,166.99x = 1,791,764.63
  5. Step 5: Solve for x
    x = 1,791,764.63/1,166.99
  6. Step 6: Final answer
    x = 1,535.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.