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Finding the Fourth Proportional to 1,122.14, 1,682.70 and 472.52

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Solution

The fourth proportional to 1,122.14, 1,682.70 and 472.52 is: 708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.14 : 1,682.70 = 472.52 : x
  2. Step 2: Convert to fraction form
    1,122.14/1,682.70 = 472.52/x
  3. Step 3: Cross multiply
    1,122.14x = 1,682.70 × 472.52
  4. Step 4: Simplify right side
    1,122.14x = 795,109.40
  5. Step 5: Solve for x
    x = 795,109.40/1,122.14
  6. Step 6: Final answer
    x = 708.57

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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.