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Finding the Fourth Proportional to 1,384.55, 1,911.46 and 913.26

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Solution

The fourth proportional to 1,384.55, 1,911.46 and 913.26 is: 1,260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.55 : 1,911.46 = 913.26 : x
  2. Step 2: Convert to fraction form
    1,384.55/1,911.46 = 913.26/x
  3. Step 3: Cross multiply
    1,384.55x = 1,911.46 × 913.26
  4. Step 4: Simplify right side
    1,384.55x = 1,745,659.96
  5. Step 5: Solve for x
    x = 1,745,659.96/1,384.55
  6. Step 6: Final answer
    x = 1,260.81

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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.