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Finding the Fourth Proportional to 833.06, 1,149.86 and 483.68

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Solution

The fourth proportional to 833.06, 1,149.86 and 483.68 is: 667.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.06 : 1,149.86 = 483.68 : x
  2. Step 2: Convert to fraction form
    833.06/1,149.86 = 483.68/x
  3. Step 3: Cross multiply
    833.06x = 1,149.86 × 483.68
  4. Step 4: Simplify right side
    833.06x = 556,164.28
  5. Step 5: Solve for x
    x = 556,164.28/833.06
  6. Step 6: Final answer
    x = 667.62

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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.