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Finding the Fourth Proportional to 1,029.32, 1,420.45 and 563.57

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Solution

The fourth proportional to 1,029.32, 1,420.45 and 563.57 is: 777.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.32 : 1,420.45 = 563.57 : x
  2. Step 2: Convert to fraction form
    1,029.32/1,420.45 = 563.57/x
  3. Step 3: Cross multiply
    1,029.32x = 1,420.45 × 563.57
  4. Step 4: Simplify right side
    1,029.32x = 800,523.01
  5. Step 5: Solve for x
    x = 800,523.01/1,029.32
  6. Step 6: Final answer
    x = 777.72

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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.