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Finding the Fourth Proportional to 959.92, 1,324.80 and 567.08

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Solution

The fourth proportional to 959.92, 1,324.80 and 567.08 is: 782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.92 : 1,324.80 = 567.08 : x
  2. Step 2: Convert to fraction form
    959.92/1,324.80 = 567.08/x
  3. Step 3: Cross multiply
    959.92x = 1,324.80 × 567.08
  4. Step 4: Simplify right side
    959.92x = 751,267.58
  5. Step 5: Solve for x
    x = 751,267.58/959.92
  6. Step 6: Final answer
    x = 782.64

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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.