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Finding the Fourth Proportional to 1,334.28, 1,840.76 and 913.96

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Solution

The fourth proportional to 1,334.28, 1,840.76 and 913.96 is: 1,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.28 : 1,840.76 = 913.96 : x
  2. Step 2: Convert to fraction form
    1,334.28/1,840.76 = 913.96/x
  3. Step 3: Cross multiply
    1,334.28x = 1,840.76 × 913.96
  4. Step 4: Simplify right side
    1,334.28x = 1,682,381.01
  5. Step 5: Solve for x
    x = 1,682,381.01/1,334.28
  6. Step 6: Final answer
    x = 1,260.89

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Double scale
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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.