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Finding the Fourth Proportional to 1,379.48, 1,903.76 and 790.11

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Solution

The fourth proportional to 1,379.48, 1,903.76 and 790.11 is: 1,090.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.48 : 1,903.76 = 790.11 : x
  2. Step 2: Convert to fraction form
    1,379.48/1,903.76 = 790.11/x
  3. Step 3: Cross multiply
    1,379.48x = 1,903.76 × 790.11
  4. Step 4: Simplify right side
    1,379.48x = 1,504,181.79
  5. Step 5: Solve for x
    x = 1,504,181.79/1,379.48
  6. Step 6: Final answer
    x = 1,090.40

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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.