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Finding the Fourth Proportional to 964.30, 1,446.45 and 813.10

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Solution

The fourth proportional to 964.30, 1,446.45 and 813.10 is: 1,219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.30 : 1,446.45 = 813.10 : x
  2. Step 2: Convert to fraction form
    964.30/1,446.45 = 813.10/x
  3. Step 3: Cross multiply
    964.30x = 1,446.45 × 813.10
  4. Step 4: Simplify right side
    964.30x = 1,176,108.50
  5. Step 5: Solve for x
    x = 1,176,108.50/964.30
  6. Step 6: Final answer
    x = 1,219.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.