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Finding the Fourth Proportional to 1,318.82, 1,820.16 and 794.88

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Solution

The fourth proportional to 1,318.82, 1,820.16 and 794.88 is: 1,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.82 : 1,820.16 = 794.88 : x
  2. Step 2: Convert to fraction form
    1,318.82/1,820.16 = 794.88/x
  3. Step 3: Cross multiply
    1,318.82x = 1,820.16 × 794.88
  4. Step 4: Simplify right side
    1,318.82x = 1,446,808.78
  5. Step 5: Solve for x
    x = 1,446,808.78/1,318.82
  6. Step 6: Final answer
    x = 1,097.05

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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.