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Finding the Fourth Proportional to 795.42, 1,190.30 and 471.02

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Solution

The fourth proportional to 795.42, 1,190.30 and 471.02 is: 704.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.42 : 1,190.30 = 471.02 : x
  2. Step 2: Convert to fraction form
    795.42/1,190.30 = 471.02/x
  3. Step 3: Cross multiply
    795.42x = 1,190.30 × 471.02
  4. Step 4: Simplify right side
    795.42x = 560,646.80
  5. Step 5: Solve for x
    x = 560,646.80/795.42
  6. Step 6: Final answer
    x = 704.84

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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.