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Finding the Fourth Proportional to 833.08, 1,149.64 and 483.77

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Solution

The fourth proportional to 833.08, 1,149.64 and 483.77 is: 667.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.08 : 1,149.64 = 483.77 : x
  2. Step 2: Convert to fraction form
    833.08/1,149.64 = 483.77/x
  3. Step 3: Cross multiply
    833.08x = 1,149.64 × 483.77
  4. Step 4: Simplify right side
    833.08x = 556,161.34
  5. Step 5: Solve for x
    x = 556,161.34/833.08
  6. Step 6: Final answer
    x = 667.60

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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.