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Finding the Fourth Proportional to 851.40, 1,277.10 and 462.60

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Solution

The fourth proportional to 851.40, 1,277.10 and 462.60 is: 693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.40 : 1,277.10 = 462.60 : x
  2. Step 2: Convert to fraction form
    851.40/1,277.10 = 462.60/x
  3. Step 3: Cross multiply
    851.40x = 1,277.10 × 462.60
  4. Step 4: Simplify right side
    851.40x = 590,786.46
  5. Step 5: Solve for x
    x = 590,786.46/851.40
  6. Step 6: Final answer
    x = 693.90

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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.