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Finding the Fourth Proportional to 1,097.23, 1,645.23 and 366.40

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Solution

The fourth proportional to 1,097.23, 1,645.23 and 366.40 is: 549.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.23 : 1,645.23 = 366.40 : x
  2. Step 2: Convert to fraction form
    1,097.23/1,645.23 = 366.40/x
  3. Step 3: Cross multiply
    1,097.23x = 1,645.23 × 366.40
  4. Step 4: Simplify right side
    1,097.23x = 602,812.27
  5. Step 5: Solve for x
    x = 602,812.27/1,097.23
  6. Step 6: Final answer
    x = 549.39

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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.