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Finding the Fourth Proportional to 833.04, 1,149.76 and 483.84

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Solution

The fourth proportional to 833.04, 1,149.76 and 483.84 is: 667.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.04 : 1,149.76 = 483.84 : x
  2. Step 2: Convert to fraction form
    833.04/1,149.76 = 483.84/x
  3. Step 3: Cross multiply
    833.04x = 1,149.76 × 483.84
  4. Step 4: Simplify right side
    833.04x = 556,299.88
  5. Step 5: Solve for x
    x = 556,299.88/833.04
  6. Step 6: Final answer
    x = 667.79

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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.