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Finding the Fourth Proportional to 710.93, 1,066.82 and 300.03

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Solution

The fourth proportional to 710.93, 1,066.82 and 300.03 is: 450.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.93 : 1,066.82 = 300.03 : x
  2. Step 2: Convert to fraction form
    710.93/1,066.82 = 300.03/x
  3. Step 3: Cross multiply
    710.93x = 1,066.82 × 300.03
  4. Step 4: Simplify right side
    710.93x = 320,076.50
  5. Step 5: Solve for x
    x = 320,076.50/710.93
  6. Step 6: Final answer
    x = 450.23

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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.