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Finding the Fourth Proportional to 703.23, 1,053.69 and 496.80

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Solution

The fourth proportional to 703.23, 1,053.69 and 496.80 is: 744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.23 : 1,053.69 = 496.80 : x
  2. Step 2: Convert to fraction form
    703.23/1,053.69 = 496.80/x
  3. Step 3: Cross multiply
    703.23x = 1,053.69 × 496.80
  4. Step 4: Simplify right side
    703.23x = 523,473.19
  5. Step 5: Solve for x
    x = 523,473.19/703.23
  6. Step 6: Final answer
    x = 744.38

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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.