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Finding the Fourth Proportional to 743,698, 1,119,593.50 and 677,563.12

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Solution

The fourth proportional to 743,698, 1,119,593.50 and 677,563.12 is: 1,020,031.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,698 : 1,119,593.50 = 677,563.12 : x
  2. Step 2: Convert to fraction form
    743,698/1,119,593.50 = 677,563.12/x
  3. Step 3: Cross multiply
    743,698x = 1,119,593.50 × 677,563.12
  4. Step 4: Simplify right side
    743,698x = 758,595,264,991.72
  5. Step 5: Solve for x
    x = 758,595,264,991.72/743,698
  6. Step 6: Final answer
    x = 1,020,031.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.