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Finding the Fourth Proportional to 1,029.42, 1,420.57 and 563.66

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Solution

The fourth proportional to 1,029.42, 1,420.57 and 563.66 is: 777.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.42 : 1,420.57 = 563.66 : x
  2. Step 2: Convert to fraction form
    1,029.42/1,420.57 = 563.66/x
  3. Step 3: Cross multiply
    1,029.42x = 1,420.57 × 563.66
  4. Step 4: Simplify right side
    1,029.42x = 800,718.49
  5. Step 5: Solve for x
    x = 800,718.49/1,029.42
  6. Step 6: Final answer
    x = 777.83

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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.