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Finding the Fourth Proportional to 1,206.93, 1,665.54 and 682.95

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Solution

The fourth proportional to 1,206.93, 1,665.54 and 682.95 is: 942.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.93 : 1,665.54 = 682.95 : x
  2. Step 2: Convert to fraction form
    1,206.93/1,665.54 = 682.95/x
  3. Step 3: Cross multiply
    1,206.93x = 1,665.54 × 682.95
  4. Step 4: Simplify right side
    1,206.93x = 1,137,480.54
  5. Step 5: Solve for x
    x = 1,137,480.54/1,206.93
  6. Step 6: Final answer
    x = 942.46

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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.