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Finding the Fourth Proportional to 756.98, 1,045.26 and 477.68

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Solution

The fourth proportional to 756.98, 1,045.26 and 477.68 is: 659.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.98 : 1,045.26 = 477.68 : x
  2. Step 2: Convert to fraction form
    756.98/1,045.26 = 477.68/x
  3. Step 3: Cross multiply
    756.98x = 1,045.26 × 477.68
  4. Step 4: Simplify right side
    756.98x = 499,299.80
  5. Step 5: Solve for x
    x = 499,299.80/756.98
  6. Step 6: Final answer
    x = 659.59

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