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Finding the Fourth Proportional to 1,274.99, 1,760.31 and 803.54

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Solution

The fourth proportional to 1,274.99, 1,760.31 and 803.54 is: 1,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.99 : 1,760.31 = 803.54 : x
  2. Step 2: Convert to fraction form
    1,274.99/1,760.31 = 803.54/x
  3. Step 3: Cross multiply
    1,274.99x = 1,760.31 × 803.54
  4. Step 4: Simplify right side
    1,274.99x = 1,414,479.50
  5. Step 5: Solve for x
    x = 1,414,479.50/1,274.99
  6. Step 6: Final answer
    x = 1,109.40

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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.