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Finding the Fourth Proportional to 704.01, 1,056.05 and 610.68

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Solution

The fourth proportional to 704.01, 1,056.05 and 610.68 is: 916.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.01 : 1,056.05 = 610.68 : x
  2. Step 2: Convert to fraction form
    704.01/1,056.05 = 610.68/x
  3. Step 3: Cross multiply
    704.01x = 1,056.05 × 610.68
  4. Step 4: Simplify right side
    704.01x = 644,910.14
  5. Step 5: Solve for x
    x = 644,910.14/704.01
  6. Step 6: Final answer
    x = 916.05

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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.