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Finding the Fourth Proportional to 1,322.48, 1,983.02 and 663.64

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Solution

The fourth proportional to 1,322.48, 1,983.02 and 663.64 is: 995.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.48 : 1,983.02 = 663.64 : x
  2. Step 2: Convert to fraction form
    1,322.48/1,983.02 = 663.64/x
  3. Step 3: Cross multiply
    1,322.48x = 1,983.02 × 663.64
  4. Step 4: Simplify right side
    1,322.48x = 1,316,011.39
  5. Step 5: Solve for x
    x = 1,316,011.39/1,322.48
  6. Step 6: Final answer
    x = 995.11

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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.