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Finding the Fourth Proportional to 859.22, 1,289.74 and 534.81

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Solution

The fourth proportional to 859.22, 1,289.74 and 534.81 is: 802.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.22 : 1,289.74 = 534.81 : x
  2. Step 2: Convert to fraction form
    859.22/1,289.74 = 534.81/x
  3. Step 3: Cross multiply
    859.22x = 1,289.74 × 534.81
  4. Step 4: Simplify right side
    859.22x = 689,767.74
  5. Step 5: Solve for x
    x = 689,767.74/859.22
  6. Step 6: Final answer
    x = 802.79

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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.