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Finding the Fourth Proportional to 967.82, 1,334.89 and 595.00

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Solution

The fourth proportional to 967.82, 1,334.89 and 595.00 is: 820.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.82 : 1,334.89 = 595.00 : x
  2. Step 2: Convert to fraction form
    967.82/1,334.89 = 595.00/x
  3. Step 3: Cross multiply
    967.82x = 1,334.89 × 595.00
  4. Step 4: Simplify right side
    967.82x = 794,264.04
  5. Step 5: Solve for x
    x = 794,264.04/967.82
  6. Step 6: Final answer
    x = 820.67

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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.