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Finding the Fourth Proportional to 790.49, 1,090.43 and 495.24

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Solution

The fourth proportional to 790.49, 1,090.43 and 495.24 is: 683.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.49 : 1,090.43 = 495.24 : x
  2. Step 2: Convert to fraction form
    790.49/1,090.43 = 495.24/x
  3. Step 3: Cross multiply
    790.49x = 1,090.43 × 495.24
  4. Step 4: Simplify right side
    790.49x = 540,022.08
  5. Step 5: Solve for x
    x = 540,022.08/790.49
  6. Step 6: Final answer
    x = 683.15

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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.