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Finding the Fourth Proportional to 710.92, 1,066.44 and 300.04

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Solution

The fourth proportional to 710.92, 1,066.44 and 300.04 is: 450.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.92 : 1,066.44 = 300.04 : x
  2. Step 2: Convert to fraction form
    710.92/1,066.44 = 300.04/x
  3. Step 3: Cross multiply
    710.92x = 1,066.44 × 300.04
  4. Step 4: Simplify right side
    710.92x = 319,974.66
  5. Step 5: Solve for x
    x = 319,974.66/710.92
  6. Step 6: Final answer
    x = 450.09

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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.