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Finding the Fourth Proportional to 735,633, 1,097,011.98 and 728,906.64

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Solution

The fourth proportional to 735,633, 1,097,011.98 and 728,906.64 is: 1,086,981.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,633 : 1,097,011.98 = 728,906.64 : x
  2. Step 2: Convert to fraction form
    735,633/1,097,011.98 = 728,906.64/x
  3. Step 3: Cross multiply
    735,633x = 1,097,011.98 × 728,906.64
  4. Step 4: Simplify right side
    735,633x = 799,619,316,381.55
  5. Step 5: Solve for x
    x = 799,619,316,381.55/735,633
  6. Step 6: Final answer
    x = 1,086,981.30

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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.