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Finding the Fourth Proportional to 1,194, 1,648.53 and 729.06

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Solution

The fourth proportional to 1,194, 1,648.53 and 729.06 is: 1,006.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194 : 1,648.53 = 729.06 : x
  2. Step 2: Convert to fraction form
    1,194/1,648.53 = 729.06/x
  3. Step 3: Cross multiply
    1,194x = 1,648.53 × 729.06
  4. Step 4: Simplify right side
    1,194x = 1,201,877.28
  5. Step 5: Solve for x
    x = 1,201,877.28/1,194
  6. Step 6: Final answer
    x = 1,006.60

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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.