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Finding the Fourth Proportional to 829.35, 1,146.15 and 663.30

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Solution

The fourth proportional to 829.35, 1,146.15 and 663.30 is: 916.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.35 : 1,146.15 = 663.30 : x
  2. Step 2: Convert to fraction form
    829.35/1,146.15 = 663.30/x
  3. Step 3: Cross multiply
    829.35x = 1,146.15 × 663.30
  4. Step 4: Simplify right side
    829.35x = 760,241.30
  5. Step 5: Solve for x
    x = 760,241.30/829.35
  6. Step 6: Final answer
    x = 916.67

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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.