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Finding the Fourth Proportional to 1,280.64, 1,765.20 and 814.08

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Solution

The fourth proportional to 1,280.64, 1,765.20 and 814.08 is: 1,122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.64 : 1,765.20 = 814.08 : x
  2. Step 2: Convert to fraction form
    1,280.64/1,765.20 = 814.08/x
  3. Step 3: Cross multiply
    1,280.64x = 1,765.20 × 814.08
  4. Step 4: Simplify right side
    1,280.64x = 1,437,014.02
  5. Step 5: Solve for x
    x = 1,437,014.02/1,280.64
  6. Step 6: Final answer
    x = 1,122.11

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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.