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Finding the Fourth Proportional to 859.33, 1,289.13 and 448.53

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Solution

The fourth proportional to 859.33, 1,289.13 and 448.53 is: 672.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.33 : 1,289.13 = 448.53 : x
  2. Step 2: Convert to fraction form
    859.33/1,289.13 = 448.53/x
  3. Step 3: Cross multiply
    859.33x = 1,289.13 × 448.53
  4. Step 4: Simplify right side
    859.33x = 578,213.48
  5. Step 5: Solve for x
    x = 578,213.48/859.33
  6. Step 6: Final answer
    x = 672.87

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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.