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Finding the Fourth Proportional to 795.78, 1,191.56 and 429.44

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Solution

The fourth proportional to 795.78, 1,191.56 and 429.44 is: 643.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.78 : 1,191.56 = 429.44 : x
  2. Step 2: Convert to fraction form
    795.78/1,191.56 = 429.44/x
  3. Step 3: Cross multiply
    795.78x = 1,191.56 × 429.44
  4. Step 4: Simplify right side
    795.78x = 511,695.42
  5. Step 5: Solve for x
    x = 511,695.42/795.78
  6. Step 6: Final answer
    x = 643.01

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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.