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Finding the Fourth Proportional to 1,180.13, 1,628.73 and 682.67

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Solution

The fourth proportional to 1,180.13, 1,628.73 and 682.67 is: 942.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.13 : 1,628.73 = 682.67 : x
  2. Step 2: Convert to fraction form
    1,180.13/1,628.73 = 682.67/x
  3. Step 3: Cross multiply
    1,180.13x = 1,628.73 × 682.67
  4. Step 4: Simplify right side
    1,180.13x = 1,111,889.18
  5. Step 5: Solve for x
    x = 1,111,889.18/1,180.13
  6. Step 6: Final answer
    x = 942.18

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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.