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Finding the Fourth Proportional to 1,097.30, 1,646.03 and 366.89

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Solution

The fourth proportional to 1,097.30, 1,646.03 and 366.89 is: 550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.30 : 1,646.03 = 366.89 : x
  2. Step 2: Convert to fraction form
    1,097.30/1,646.03 = 366.89/x
  3. Step 3: Cross multiply
    1,097.30x = 1,646.03 × 366.89
  4. Step 4: Simplify right side
    1,097.30x = 603,911.95
  5. Step 5: Solve for x
    x = 603,911.95/1,097.30
  6. Step 6: Final answer
    x = 550.36

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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.