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Finding the Fourth Proportional to 703.27, 1,050.04 and 659.53

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Solution

The fourth proportional to 703.27, 1,050.04 and 659.53 is: 984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.27 : 1,050.04 = 659.53 : x
  2. Step 2: Convert to fraction form
    703.27/1,050.04 = 659.53/x
  3. Step 3: Cross multiply
    703.27x = 1,050.04 × 659.53
  4. Step 4: Simplify right side
    703.27x = 692,532.88
  5. Step 5: Solve for x
    x = 692,532.88/703.27
  6. Step 6: Final answer
    x = 984.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.