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Finding the Fourth Proportional to 677.40, 1,014.16 and 492.46

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Solution

The fourth proportional to 677.40, 1,014.16 and 492.46 is: 737.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.40 : 1,014.16 = 492.46 : x
  2. Step 2: Convert to fraction form
    677.40/1,014.16 = 492.46/x
  3. Step 3: Cross multiply
    677.40x = 1,014.16 × 492.46
  4. Step 4: Simplify right side
    677.40x = 499,433.23
  5. Step 5: Solve for x
    x = 499,433.23/677.40
  6. Step 6: Final answer
    x = 737.28

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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.