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Finding the Fourth Proportional to 3,190.04, 4,784.38 and 998.48

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Solution

The fourth proportional to 3,190.04, 4,784.38 and 998.48 is: 1,497.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.04 : 4,784.38 = 998.48 : x
  2. Step 2: Convert to fraction form
    3,190.04/4,784.38 = 998.48/x
  3. Step 3: Cross multiply
    3,190.04x = 4,784.38 × 998.48
  4. Step 4: Simplify right side
    3,190.04x = 4,777,117.21
  5. Step 5: Solve for x
    x = 4,777,117.21/3,190.04
  6. Step 6: Final answer
    x = 1,497.51

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Half scale
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Double scale
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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.