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Finding the Fourth Proportional to 1,200.04, 1,656.10 and 676.04

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Solution

The fourth proportional to 1,200.04, 1,656.10 and 676.04 is: 932.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.04 : 1,656.10 = 676.04 : x
  2. Step 2: Convert to fraction form
    1,200.04/1,656.10 = 676.04/x
  3. Step 3: Cross multiply
    1,200.04x = 1,656.10 × 676.04
  4. Step 4: Simplify right side
    1,200.04x = 1,119,589.84
  5. Step 5: Solve for x
    x = 1,119,589.84/1,200.04
  6. Step 6: Final answer
    x = 932.96

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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.