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Finding the Fourth Proportional to 810.46, 1,214.25 and 485.20

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Solution

The fourth proportional to 810.46, 1,214.25 and 485.20 is: 726.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.46 : 1,214.25 = 485.20 : x
  2. Step 2: Convert to fraction form
    810.46/1,214.25 = 485.20/x
  3. Step 3: Cross multiply
    810.46x = 1,214.25 × 485.20
  4. Step 4: Simplify right side
    810.46x = 589,154.10
  5. Step 5: Solve for x
    x = 589,154.10/810.46
  6. Step 6: Final answer
    x = 726.94

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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.