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Finding the Fourth Proportional to 959.83, 1,324.69 and 566.84

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Solution

The fourth proportional to 959.83, 1,324.69 and 566.84 is: 782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.83 : 1,324.69 = 566.84 : x
  2. Step 2: Convert to fraction form
    959.83/1,324.69 = 566.84/x
  3. Step 3: Cross multiply
    959.83x = 1,324.69 × 566.84
  4. Step 4: Simplify right side
    959.83x = 750,889.17
  5. Step 5: Solve for x
    x = 750,889.17/959.83
  6. Step 6: Final answer
    x = 782.32

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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.