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Finding the Fourth Proportional to 967.97, 1,335.84 and 595.08

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Solution

The fourth proportional to 967.97, 1,335.84 and 595.08 is: 821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.97 : 1,335.84 = 595.08 : x
  2. Step 2: Convert to fraction form
    967.97/1,335.84 = 595.08/x
  3. Step 3: Cross multiply
    967.97x = 1,335.84 × 595.08
  4. Step 4: Simplify right side
    967.97x = 794,928.51
  5. Step 5: Solve for x
    x = 794,928.51/967.97
  6. Step 6: Final answer
    x = 821.23

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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.