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Finding the Fourth Proportional to 1,182.02, 1,630.22 and 739.08

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Solution

The fourth proportional to 1,182.02, 1,630.22 and 739.08 is: 1,019.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.02 : 1,630.22 = 739.08 : x
  2. Step 2: Convert to fraction form
    1,182.02/1,630.22 = 739.08/x
  3. Step 3: Cross multiply
    1,182.02x = 1,630.22 × 739.08
  4. Step 4: Simplify right side
    1,182.02x = 1,204,863.00
  5. Step 5: Solve for x
    x = 1,204,863.00/1,182.02
  6. Step 6: Final answer
    x = 1,019.33

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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.