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Finding the Fourth Proportional to 1,278.03, 1,913.63 and 729.46

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Solution

The fourth proportional to 1,278.03, 1,913.63 and 729.46 is: 1,092.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.03 : 1,913.63 = 729.46 : x
  2. Step 2: Convert to fraction form
    1,278.03/1,913.63 = 729.46/x
  3. Step 3: Cross multiply
    1,278.03x = 1,913.63 × 729.46
  4. Step 4: Simplify right side
    1,278.03x = 1,395,904.52
  5. Step 5: Solve for x
    x = 1,395,904.52/1,278.03
  6. Step 6: Final answer
    x = 1,092.23

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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.