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Finding the Fourth Proportional to 1,233.69, 1,702.46 and 736.08

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Solution

The fourth proportional to 1,233.69, 1,702.46 and 736.08 is: 1,015.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.69 : 1,702.46 = 736.08 : x
  2. Step 2: Convert to fraction form
    1,233.69/1,702.46 = 736.08/x
  3. Step 3: Cross multiply
    1,233.69x = 1,702.46 × 736.08
  4. Step 4: Simplify right side
    1,233.69x = 1,253,146.76
  5. Step 5: Solve for x
    x = 1,253,146.76/1,233.69
  6. Step 6: Final answer
    x = 1,015.77

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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.