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Finding the Fourth Proportional to 1,396.10, 1,926.66 and 790.40

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Solution

The fourth proportional to 1,396.10, 1,926.66 and 790.40 is: 1,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.10 : 1,926.66 = 790.40 : x
  2. Step 2: Convert to fraction form
    1,396.10/1,926.66 = 790.40/x
  3. Step 3: Cross multiply
    1,396.10x = 1,926.66 × 790.40
  4. Step 4: Simplify right side
    1,396.10x = 1,522,832.06
  5. Step 5: Solve for x
    x = 1,522,832.06/1,396.10
  6. Step 6: Final answer
    x = 1,090.78

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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.