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Finding the Fourth Proportional to 735,629, 1,097,006.02 and 728,902.64

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Solution

The fourth proportional to 735,629, 1,097,006.02 and 728,902.64 is: 1,086,975.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,629 : 1,097,006.02 = 728,902.64 : x
  2. Step 2: Convert to fraction form
    735,629/1,097,006.02 = 728,902.64/x
  3. Step 3: Cross multiply
    735,629x = 1,097,006.02 × 728,902.64
  4. Step 4: Simplify right side
    735,629x = 799,610,584,073.89
  5. Step 5: Solve for x
    x = 799,610,584,073.89/735,629
  6. Step 6: Final answer
    x = 1,086,975.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.