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Finding the Fourth Proportional to 833.09, 1,149.69 and 514.13

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Solution

The fourth proportional to 833.09, 1,149.69 and 514.13 is: 709.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.09 : 1,149.69 = 514.13 : x
  2. Step 2: Convert to fraction form
    833.09/1,149.69 = 514.13/x
  3. Step 3: Cross multiply
    833.09x = 1,149.69 × 514.13
  4. Step 4: Simplify right side
    833.09x = 591,090.12
  5. Step 5: Solve for x
    x = 591,090.12/833.09
  6. Step 6: Final answer
    x = 709.52

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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.