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Finding the Fourth Proportional to 1,404.03, 1,938.23 and 814.46

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Solution

The fourth proportional to 1,404.03, 1,938.23 and 814.46 is: 1,124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.03 : 1,938.23 = 814.46 : x
  2. Step 2: Convert to fraction form
    1,404.03/1,938.23 = 814.46/x
  3. Step 3: Cross multiply
    1,404.03x = 1,938.23 × 814.46
  4. Step 4: Simplify right side
    1,404.03x = 1,578,597.04
  5. Step 5: Solve for x
    x = 1,578,597.04/1,404.03
  6. Step 6: Final answer
    x = 1,124.33

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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.