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Finding the Fourth Proportional to 639.09, 956.12 and 456.93

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Solution

The fourth proportional to 639.09, 956.12 and 456.93 is: 683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.09 : 956.12 = 456.93 : x
  2. Step 2: Convert to fraction form
    639.09/956.12 = 456.93/x
  3. Step 3: Cross multiply
    639.09x = 956.12 × 456.93
  4. Step 4: Simplify right side
    639.09x = 436,877.63
  5. Step 5: Solve for x
    x = 436,877.63/639.09
  6. Step 6: Final answer
    x = 683.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.