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Finding the Fourth Proportional to 832.84, 1,149.32 and 483.50

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Solution

The fourth proportional to 832.84, 1,149.32 and 483.50 is: 667.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.84 : 1,149.32 = 483.50 : x
  2. Step 2: Convert to fraction form
    832.84/1,149.32 = 483.50/x
  3. Step 3: Cross multiply
    832.84x = 1,149.32 × 483.50
  4. Step 4: Simplify right side
    832.84x = 555,696.22
  5. Step 5: Solve for x
    x = 555,696.22/832.84
  6. Step 6: Final answer
    x = 667.23

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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.