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Finding the Fourth Proportional to 1,324.53, 1,827.90 and 800.46

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Solution

The fourth proportional to 1,324.53, 1,827.90 and 800.46 is: 1,104.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.53 : 1,827.90 = 800.46 : x
  2. Step 2: Convert to fraction form
    1,324.53/1,827.90 = 800.46/x
  3. Step 3: Cross multiply
    1,324.53x = 1,827.90 × 800.46
  4. Step 4: Simplify right side
    1,324.53x = 1,463,160.83
  5. Step 5: Solve for x
    x = 1,463,160.83/1,324.53
  6. Step 6: Final answer
    x = 1,104.66

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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.