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Finding the Fourth Proportional to 959.50, 1,323.84 and 586.09

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Solution

The fourth proportional to 959.50, 1,323.84 and 586.09 is: 808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.50 : 1,323.84 = 586.09 : x
  2. Step 2: Convert to fraction form
    959.50/1,323.84 = 586.09/x
  3. Step 3: Cross multiply
    959.50x = 1,323.84 × 586.09
  4. Step 4: Simplify right side
    959.50x = 775,889.39
  5. Step 5: Solve for x
    x = 775,889.39/959.50
  6. Step 6: Final answer
    x = 808.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.