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Finding the Fourth Proportional to 1,029.45, 1,420.62 and 563.70

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Solution

The fourth proportional to 1,029.45, 1,420.62 and 563.70 is: 777.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.45 : 1,420.62 = 563.70 : x
  2. Step 2: Convert to fraction form
    1,029.45/1,420.62 = 563.70/x
  3. Step 3: Cross multiply
    1,029.45x = 1,420.62 × 563.70
  4. Step 4: Simplify right side
    1,029.45x = 800,803.49
  5. Step 5: Solve for x
    x = 800,803.49/1,029.45
  6. Step 6: Final answer
    x = 777.89

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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.