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Finding the Fourth Proportional to 1,337.53, 1,846.97 and 841.00

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Solution

The fourth proportional to 1,337.53, 1,846.97 and 841.00 is: 1,161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.53 : 1,846.97 = 841.00 : x
  2. Step 2: Convert to fraction form
    1,337.53/1,846.97 = 841.00/x
  3. Step 3: Cross multiply
    1,337.53x = 1,846.97 × 841.00
  4. Step 4: Simplify right side
    1,337.53x = 1,553,288.33
  5. Step 5: Solve for x
    x = 1,553,288.33/1,337.53
  6. Step 6: Final answer
    x = 1,161.32

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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.