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Finding the Fourth Proportional to 1,192.76, 1,646 and 654.39

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Solution

The fourth proportional to 1,192.76, 1,646 and 654.39 is: 903.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.76 : 1,646 = 654.39 : x
  2. Step 2: Convert to fraction form
    1,192.76/1,646 = 654.39/x
  3. Step 3: Cross multiply
    1,192.76x = 1,646 × 654.39
  4. Step 4: Simplify right side
    1,192.76x = 1,077,125.94
  5. Step 5: Solve for x
    x = 1,077,125.94/1,192.76
  6. Step 6: Final answer
    x = 903.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.