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Finding the Fourth Proportional to 1,280.04, 1,765.68 and 814.28

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Solution

The fourth proportional to 1,280.04, 1,765.68 and 814.28 is: 1,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.04 : 1,765.68 = 814.28 : x
  2. Step 2: Convert to fraction form
    1,280.04/1,765.68 = 814.28/x
  3. Step 3: Cross multiply
    1,280.04x = 1,765.68 × 814.28
  4. Step 4: Simplify right side
    1,280.04x = 1,437,757.91
  5. Step 5: Solve for x
    x = 1,437,757.91/1,280.04
  6. Step 6: Final answer
    x = 1,123.21

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1.5x scale

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.