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Finding the Fourth Proportional to 1,097.47, 1,645.65 and 366.79

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Solution

The fourth proportional to 1,097.47, 1,645.65 and 366.79 is: 550.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.47 : 1,645.65 = 366.79 : x
  2. Step 2: Convert to fraction form
    1,097.47/1,645.65 = 366.79/x
  3. Step 3: Cross multiply
    1,097.47x = 1,645.65 × 366.79
  4. Step 4: Simplify right side
    1,097.47x = 603,607.96
  5. Step 5: Solve for x
    x = 603,607.96/1,097.47
  6. Step 6: Final answer
    x = 550.00

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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.