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Finding the Fourth Proportional to 713.64, 1,069.02 and 440.26

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Solution

The fourth proportional to 713.64, 1,069.02 and 440.26 is: 659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.64 : 1,069.02 = 440.26 : x
  2. Step 2: Convert to fraction form
    713.64/1,069.02 = 440.26/x
  3. Step 3: Cross multiply
    713.64x = 1,069.02 × 440.26
  4. Step 4: Simplify right side
    713.64x = 470,646.75
  5. Step 5: Solve for x
    x = 470,646.75/713.64
  6. Step 6: Final answer
    x = 659.50

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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.