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Finding the Fourth Proportional to 1,161.24, 1,739.74 and 770.30

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Solution

The fourth proportional to 1,161.24, 1,739.74 and 770.30 is: 1,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.24 : 1,739.74 = 770.30 : x
  2. Step 2: Convert to fraction form
    1,161.24/1,739.74 = 770.30/x
  3. Step 3: Cross multiply
    1,161.24x = 1,739.74 × 770.30
  4. Step 4: Simplify right side
    1,161.24x = 1,340,121.72
  5. Step 5: Solve for x
    x = 1,340,121.72/1,161.24
  6. Step 6: Final answer
    x = 1,154.04

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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.