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Finding the Fourth Proportional to 859.06, 1,289.15 and 534.65

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Solution

The fourth proportional to 859.06, 1,289.15 and 534.65 is: 802.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.06 : 1,289.15 = 534.65 : x
  2. Step 2: Convert to fraction form
    859.06/1,289.15 = 534.65/x
  3. Step 3: Cross multiply
    859.06x = 1,289.15 × 534.65
  4. Step 4: Simplify right side
    859.06x = 689,244.05
  5. Step 5: Solve for x
    x = 689,244.05/859.06
  6. Step 6: Final answer
    x = 802.32

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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.