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Finding the Fourth Proportional to 1,180.83, 1,628.75 and 900.42

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Solution

The fourth proportional to 1,180.83, 1,628.75 and 900.42 is: 1,241.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.83 : 1,628.75 = 900.42 : x
  2. Step 2: Convert to fraction form
    1,180.83/1,628.75 = 900.42/x
  3. Step 3: Cross multiply
    1,180.83x = 1,628.75 × 900.42
  4. Step 4: Simplify right side
    1,180.83x = 1,466,559.08
  5. Step 5: Solve for x
    x = 1,466,559.08/1,180.83
  6. Step 6: Final answer
    x = 1,241.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.