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Finding the Fourth Proportional to 744.77, 1,117.46 and 333.80

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Solution

The fourth proportional to 744.77, 1,117.46 and 333.80 is: 500.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.77 : 1,117.46 = 333.80 : x
  2. Step 2: Convert to fraction form
    744.77/1,117.46 = 333.80/x
  3. Step 3: Cross multiply
    744.77x = 1,117.46 × 333.80
  4. Step 4: Simplify right side
    744.77x = 373,008.15
  5. Step 5: Solve for x
    x = 373,008.15/744.77
  6. Step 6: Final answer
    x = 500.84

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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.