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Finding the Fourth Proportional to 816.70, 1,225.04 and 672.10

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Solution

The fourth proportional to 816.70, 1,225.04 and 672.10 is: 1,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.70 : 1,225.04 = 672.10 : x
  2. Step 2: Convert to fraction form
    816.70/1,225.04 = 672.10/x
  3. Step 3: Cross multiply
    816.70x = 1,225.04 × 672.10
  4. Step 4: Simplify right side
    816.70x = 823,349.38
  5. Step 5: Solve for x
    x = 823,349.38/816.70
  6. Step 6: Final answer
    x = 1,008.14

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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.