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Finding the Fourth Proportional to 1,256.06, 1,732.78 and 814.11

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Solution

The fourth proportional to 1,256.06, 1,732.78 and 814.11 is: 1,123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.06 : 1,732.78 = 814.11 : x
  2. Step 2: Convert to fraction form
    1,256.06/1,732.78 = 814.11/x
  3. Step 3: Cross multiply
    1,256.06x = 1,732.78 × 814.11
  4. Step 4: Simplify right side
    1,256.06x = 1,410,673.53
  5. Step 5: Solve for x
    x = 1,410,673.53/1,256.06
  6. Step 6: Final answer
    x = 1,123.09

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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.