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Finding the Fourth Proportional to 1,029.30, 1,420.46 and 563.55

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Solution

The fourth proportional to 1,029.30, 1,420.46 and 563.55 is: 777.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.30 : 1,420.46 = 563.55 : x
  2. Step 2: Convert to fraction form
    1,029.30/1,420.46 = 563.55/x
  3. Step 3: Cross multiply
    1,029.30x = 1,420.46 × 563.55
  4. Step 4: Simplify right side
    1,029.30x = 800,500.23
  5. Step 5: Solve for x
    x = 800,500.23/1,029.30
  6. Step 6: Final answer
    x = 777.71

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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.