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Finding the Fourth Proportional to 1,363.65, 2,044.26 and 541.50

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Solution

The fourth proportional to 1,363.65, 2,044.26 and 541.50 is: 811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.65 : 2,044.26 = 541.50 : x
  2. Step 2: Convert to fraction form
    1,363.65/2,044.26 = 541.50/x
  3. Step 3: Cross multiply
    1,363.65x = 2,044.26 × 541.50
  4. Step 4: Simplify right side
    1,363.65x = 1,106,966.79
  5. Step 5: Solve for x
    x = 1,106,966.79/1,363.65
  6. Step 6: Final answer
    x = 811.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.