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Finding the Fourth Proportional to 859.80, 1,286.46 and 653.64

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Solution

The fourth proportional to 859.80, 1,286.46 and 653.64 is: 978.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.80 : 1,286.46 = 653.64 : x
  2. Step 2: Convert to fraction form
    859.80/1,286.46 = 653.64/x
  3. Step 3: Cross multiply
    859.80x = 1,286.46 × 653.64
  4. Step 4: Simplify right side
    859.80x = 840,881.71
  5. Step 5: Solve for x
    x = 840,881.71/859.80
  6. Step 6: Final answer
    x = 978.00

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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.