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Finding the Fourth Proportional to 1,739.79, 2,609.70 and 441.26

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Solution

The fourth proportional to 1,739.79, 2,609.70 and 441.26 is: 661.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,739.79 : 2,609.70 = 441.26 : x
  2. Step 2: Convert to fraction form
    1,739.79/2,609.70 = 441.26/x
  3. Step 3: Cross multiply
    1,739.79x = 2,609.70 × 441.26
  4. Step 4: Simplify right side
    1,739.79x = 1,151,543.17
  5. Step 5: Solve for x
    x = 1,151,543.17/1,739.79
  6. Step 6: Final answer
    x = 661.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.