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Finding the Fourth Proportional to 1,029.60, 1,420.77 and 563.85

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Solution

The fourth proportional to 1,029.60, 1,420.77 and 563.85 is: 778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.60 : 1,420.77 = 563.85 : x
  2. Step 2: Convert to fraction form
    1,029.60/1,420.77 = 563.85/x
  3. Step 3: Cross multiply
    1,029.60x = 1,420.77 × 563.85
  4. Step 4: Simplify right side
    1,029.60x = 801,101.16
  5. Step 5: Solve for x
    x = 801,101.16/1,029.60
  6. Step 6: Final answer
    x = 778.07

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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.