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Finding the Fourth Proportional to 1,029.52, 1,420.74 and 563.80

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Solution

The fourth proportional to 1,029.52, 1,420.74 and 563.80 is: 778.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.52 : 1,420.74 = 563.80 : x
  2. Step 2: Convert to fraction form
    1,029.52/1,420.74 = 563.80/x
  3. Step 3: Cross multiply
    1,029.52x = 1,420.74 × 563.80
  4. Step 4: Simplify right side
    1,029.52x = 801,013.21
  5. Step 5: Solve for x
    x = 801,013.21/1,029.52
  6. Step 6: Final answer
    x = 778.05

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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.