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Finding the Fourth Proportional to 859.20, 1,289.10 and 448.08

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Solution

The fourth proportional to 859.20, 1,289.10 and 448.08 is: 672.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.20 : 1,289.10 = 448.08 : x
  2. Step 2: Convert to fraction form
    859.20/1,289.10 = 448.08/x
  3. Step 3: Cross multiply
    859.20x = 1,289.10 × 448.08
  4. Step 4: Simplify right side
    859.20x = 577,619.93
  5. Step 5: Solve for x
    x = 577,619.93/859.20
  6. Step 6: Final answer
    x = 672.28

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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.