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Finding the Fourth Proportional to 1,636.67, 2,455.31 and 712.06

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Solution

The fourth proportional to 1,636.67, 2,455.31 and 712.06 is: 1,068.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.67 : 2,455.31 = 712.06 : x
  2. Step 2: Convert to fraction form
    1,636.67/2,455.31 = 712.06/x
  3. Step 3: Cross multiply
    1,636.67x = 2,455.31 × 712.06
  4. Step 4: Simplify right side
    1,636.67x = 1,748,323.68
  5. Step 5: Solve for x
    x = 1,748,323.68/1,636.67
  6. Step 6: Final answer
    x = 1,068.22

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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.