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Finding the Fourth Proportional to 1,379.88, 1,904.13 and 790.20

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Solution

The fourth proportional to 1,379.88, 1,904.13 and 790.20 is: 1,090.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.88 : 1,904.13 = 790.20 : x
  2. Step 2: Convert to fraction form
    1,379.88/1,904.13 = 790.20/x
  3. Step 3: Cross multiply
    1,379.88x = 1,904.13 × 790.20
  4. Step 4: Simplify right side
    1,379.88x = 1,504,643.53
  5. Step 5: Solve for x
    x = 1,504,643.53/1,379.88
  6. Step 6: Final answer
    x = 1,090.42

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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.