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Finding the Fourth Proportional to 1,199.05, 1,652.64 and 1,029.76

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Solution

The fourth proportional to 1,199.05, 1,652.64 and 1,029.76 is: 1,419.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.05 : 1,652.64 = 1,029.76 : x
  2. Step 2: Convert to fraction form
    1,199.05/1,652.64 = 1,029.76/x
  3. Step 3: Cross multiply
    1,199.05x = 1,652.64 × 1,029.76
  4. Step 4: Simplify right side
    1,199.05x = 1,701,822.57
  5. Step 5: Solve for x
    x = 1,701,822.57/1,199.05
  6. Step 6: Final answer
    x = 1,419.31

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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.