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Finding the Fourth Proportional to 1,379.77, 1,904.08 and 790.30

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Solution

The fourth proportional to 1,379.77, 1,904.08 and 790.30 is: 1,090.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.77 : 1,904.08 = 790.30 : x
  2. Step 2: Convert to fraction form
    1,379.77/1,904.08 = 790.30/x
  3. Step 3: Cross multiply
    1,379.77x = 1,904.08 × 790.30
  4. Step 4: Simplify right side
    1,379.77x = 1,504,787.69
  5. Step 5: Solve for x
    x = 1,504,787.69/1,379.77
  6. Step 6: Final answer
    x = 1,090.61

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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.