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Finding the Fourth Proportional to 1,029.43, 1,420.65 and 563.69

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Solution

The fourth proportional to 1,029.43, 1,420.65 and 563.69 is: 777.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.43 : 1,420.65 = 563.69 : x
  2. Step 2: Convert to fraction form
    1,029.43/1,420.65 = 563.69/x
  3. Step 3: Cross multiply
    1,029.43x = 1,420.65 × 563.69
  4. Step 4: Simplify right side
    1,029.43x = 800,806.20
  5. Step 5: Solve for x
    x = 800,806.20/1,029.43
  6. Step 6: Final answer
    x = 777.91

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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.