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Finding the Fourth Proportional to 740.90, 1,022.39 and 474.96

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Solution

The fourth proportional to 740.90, 1,022.39 and 474.96 is: 655.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.90 : 1,022.39 = 474.96 : x
  2. Step 2: Convert to fraction form
    740.90/1,022.39 = 474.96/x
  3. Step 3: Cross multiply
    740.90x = 1,022.39 × 474.96
  4. Step 4: Simplify right side
    740.90x = 485,591.98
  5. Step 5: Solve for x
    x = 485,591.98/740.90
  6. Step 6: Final answer
    x = 655.41

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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.