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Finding the Fourth Proportional to 704.05, 1,056.29 and 499.02

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Solution

The fourth proportional to 704.05, 1,056.29 and 499.02 is: 748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.05 : 1,056.29 = 499.02 : x
  2. Step 2: Convert to fraction form
    704.05/1,056.29 = 499.02/x
  3. Step 3: Cross multiply
    704.05x = 1,056.29 × 499.02
  4. Step 4: Simplify right side
    704.05x = 527,104.55
  5. Step 5: Solve for x
    x = 527,104.55/704.05
  6. Step 6: Final answer
    x = 748.68

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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.