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Finding the Fourth Proportional to 757.80, 1,136.46 and 465.26

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Solution

The fourth proportional to 757.80, 1,136.46 and 465.26 is: 697.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.80 : 1,136.46 = 465.26 : x
  2. Step 2: Convert to fraction form
    757.80/1,136.46 = 465.26/x
  3. Step 3: Cross multiply
    757.80x = 1,136.46 × 465.26
  4. Step 4: Simplify right side
    757.80x = 528,749.38
  5. Step 5: Solve for x
    x = 528,749.38/757.80
  6. Step 6: Final answer
    x = 697.74

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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.