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Finding the Fourth Proportional to 859.46, 1,288.34 and 448.64

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Solution

The fourth proportional to 859.46, 1,288.34 and 448.64 is: 672.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.46 : 1,288.34 = 448.64 : x
  2. Step 2: Convert to fraction form
    859.46/1,288.34 = 448.64/x
  3. Step 3: Cross multiply
    859.46x = 1,288.34 × 448.64
  4. Step 4: Simplify right side
    859.46x = 578,000.86
  5. Step 5: Solve for x
    x = 578,000.86/859.46
  6. Step 6: Final answer
    x = 672.52

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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.