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Finding the Fourth Proportional to 1,097.29, 1,645.93 and 548.92

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Solution

The fourth proportional to 1,097.29, 1,645.93 and 548.92 is: 823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.29 : 1,645.93 = 548.92 : x
  2. Step 2: Convert to fraction form
    1,097.29/1,645.93 = 548.92/x
  3. Step 3: Cross multiply
    1,097.29x = 1,645.93 × 548.92
  4. Step 4: Simplify right side
    1,097.29x = 903,483.90
  5. Step 5: Solve for x
    x = 903,483.90/1,097.29
  6. Step 6: Final answer
    x = 823.38

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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.