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Finding the Fourth Proportional to 967.67, 1,335.75 and 595.16

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Solution

The fourth proportional to 967.67, 1,335.75 and 595.16 is: 821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.67 : 1,335.75 = 595.16 : x
  2. Step 2: Convert to fraction form
    967.67/1,335.75 = 595.16/x
  3. Step 3: Cross multiply
    967.67x = 1,335.75 × 595.16
  4. Step 4: Simplify right side
    967.67x = 794,978.29
  5. Step 5: Solve for x
    x = 794,978.29/967.67
  6. Step 6: Final answer
    x = 821.54

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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.