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Finding the Fourth Proportional to 1,029.40, 1,420.52 and 563.65

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Solution

The fourth proportional to 1,029.40, 1,420.52 and 563.65 is: 777.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.40 : 1,420.52 = 563.65 : x
  2. Step 2: Convert to fraction form
    1,029.40/1,420.52 = 563.65/x
  3. Step 3: Cross multiply
    1,029.40x = 1,420.52 × 563.65
  4. Step 4: Simplify right side
    1,029.40x = 800,673.28
  5. Step 5: Solve for x
    x = 800,673.28/1,029.40
  6. Step 6: Final answer
    x = 777.81

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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.