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Finding the Fourth Proportional to 656.15, 983.09 and 460.78

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Solution

The fourth proportional to 656.15, 983.09 and 460.78 is: 690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.15 : 983.09 = 460.78 : x
  2. Step 2: Convert to fraction form
    656.15/983.09 = 460.78/x
  3. Step 3: Cross multiply
    656.15x = 983.09 × 460.78
  4. Step 4: Simplify right side
    656.15x = 452,983.45
  5. Step 5: Solve for x
    x = 452,983.45/656.15
  6. Step 6: Final answer
    x = 690.37

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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.