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Finding the Fourth Proportional to 1,707.80, 2,559.52 and 884.48

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Solution

The fourth proportional to 1,707.80, 2,559.52 and 884.48 is: 1,325.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.80 : 2,559.52 = 884.48 : x
  2. Step 2: Convert to fraction form
    1,707.80/2,559.52 = 884.48/x
  3. Step 3: Cross multiply
    1,707.80x = 2,559.52 × 884.48
  4. Step 4: Simplify right side
    1,707.80x = 2,263,844.25
  5. Step 5: Solve for x
    x = 2,263,844.25/1,707.80
  6. Step 6: Final answer
    x = 1,325.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.