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Finding the Fourth Proportional to 656.80, 984.12 and 464.02

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Solution

The fourth proportional to 656.80, 984.12 and 464.02 is: 695.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.80 : 984.12 = 464.02 : x
  2. Step 2: Convert to fraction form
    656.80/984.12 = 464.02/x
  3. Step 3: Cross multiply
    656.80x = 984.12 × 464.02
  4. Step 4: Simplify right side
    656.80x = 456,651.36
  5. Step 5: Solve for x
    x = 456,651.36/656.80
  6. Step 6: Final answer
    x = 695.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.