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Finding the Fourth Proportional to 633.96, 873.18 and 595.89

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Solution

The fourth proportional to 633.96, 873.18 and 595.89 is: 820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.96 : 873.18 = 595.89 : x
  2. Step 2: Convert to fraction form
    633.96/873.18 = 595.89/x
  3. Step 3: Cross multiply
    633.96x = 873.18 × 595.89
  4. Step 4: Simplify right side
    633.96x = 520,319.23
  5. Step 5: Solve for x
    x = 520,319.23/633.96
  6. Step 6: Final answer
    x = 820.74

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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.