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Finding the Fourth Proportional to 656.00, 984.48 and 459.71

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Solution

The fourth proportional to 656.00, 984.48 and 459.71 is: 689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.00 : 984.48 = 459.71 : x
  2. Step 2: Convert to fraction form
    656.00/984.48 = 459.71/x
  3. Step 3: Cross multiply
    656.00x = 984.48 × 459.71
  4. Step 4: Simplify right side
    656.00x = 452,568.08
  5. Step 5: Solve for x
    x = 452,568.08/656.00
  6. Step 6: Final answer
    x = 689.90

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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.