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Finding the Fourth Proportional to 1,024, 1,412.72 and 650.80

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Solution

The fourth proportional to 1,024, 1,412.72 and 650.80 is: 897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024 : 1,412.72 = 650.80 : x
  2. Step 2: Convert to fraction form
    1,024/1,412.72 = 650.80/x
  3. Step 3: Cross multiply
    1,024x = 1,412.72 × 650.80
  4. Step 4: Simplify right side
    1,024x = 919,398.18
  5. Step 5: Solve for x
    x = 919,398.18/1,024
  6. Step 6: Final answer
    x = 897.85

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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.