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Finding the Fourth Proportional to 833.03, 1,149.56 and 459.99

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Solution

The fourth proportional to 833.03, 1,149.56 and 459.99 is: 634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.03 : 1,149.56 = 459.99 : x
  2. Step 2: Convert to fraction form
    833.03/1,149.56 = 459.99/x
  3. Step 3: Cross multiply
    833.03x = 1,149.56 × 459.99
  4. Step 4: Simplify right side
    833.03x = 528,786.68
  5. Step 5: Solve for x
    x = 528,786.68/833.03
  6. Step 6: Final answer
    x = 634.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.