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Finding the Fourth Proportional to 701.68, 967.50 and 659.32

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Solution

The fourth proportional to 701.68, 967.50 and 659.32 is: 909.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.68 : 967.50 = 659.32 : x
  2. Step 2: Convert to fraction form
    701.68/967.50 = 659.32/x
  3. Step 3: Cross multiply
    701.68x = 967.50 × 659.32
  4. Step 4: Simplify right side
    701.68x = 637,892.10
  5. Step 5: Solve for x
    x = 637,892.10/701.68
  6. Step 6: Final answer
    x = 909.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.