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Finding the Fourth Proportional to 833.12, 1,149.46 and 538.14

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Solution

The fourth proportional to 833.12, 1,149.46 and 538.14 is: 742.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.12 : 1,149.46 = 538.14 : x
  2. Step 2: Convert to fraction form
    833.12/1,149.46 = 538.14/x
  3. Step 3: Cross multiply
    833.12x = 1,149.46 × 538.14
  4. Step 4: Simplify right side
    833.12x = 618,570.40
  5. Step 5: Solve for x
    x = 618,570.40/833.12
  6. Step 6: Final answer
    x = 742.47

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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.