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Finding the Fourth Proportional to 711.84, 1,067.12 and 346.40

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Solution

The fourth proportional to 711.84, 1,067.12 and 346.40 is: 519.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.84 : 1,067.12 = 346.40 : x
  2. Step 2: Convert to fraction form
    711.84/1,067.12 = 346.40/x
  3. Step 3: Cross multiply
    711.84x = 1,067.12 × 346.40
  4. Step 4: Simplify right side
    711.84x = 369,650.37
  5. Step 5: Solve for x
    x = 369,650.37/711.84
  6. Step 6: Final answer
    x = 519.29

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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.