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Finding the Fourth Proportional to 757.20, 1,045.44 and 495.12

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Solution

The fourth proportional to 757.20, 1,045.44 and 495.12 is: 683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.20 : 1,045.44 = 495.12 : x
  2. Step 2: Convert to fraction form
    757.20/1,045.44 = 495.12/x
  3. Step 3: Cross multiply
    757.20x = 1,045.44 × 495.12
  4. Step 4: Simplify right side
    757.20x = 517,618.25
  5. Step 5: Solve for x
    x = 517,618.25/757.20
  6. Step 6: Final answer
    x = 683.60

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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.