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Finding the Fourth Proportional to 941.54, 1,410.44 and 710.69

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Solution

The fourth proportional to 941.54, 1,410.44 and 710.69 is: 1,064.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.54 : 1,410.44 = 710.69 : x
  2. Step 2: Convert to fraction form
    941.54/1,410.44 = 710.69/x
  3. Step 3: Cross multiply
    941.54x = 1,410.44 × 710.69
  4. Step 4: Simplify right side
    941.54x = 1,002,375.00
  5. Step 5: Solve for x
    x = 1,002,375.00/941.54
  6. Step 6: Final answer
    x = 1,064.62

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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.