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Finding the Fourth Proportional to 1,097.64, 1,645.92 and 549.72

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Solution

The fourth proportional to 1,097.64, 1,645.92 and 549.72 is: 824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.64 : 1,645.92 = 549.72 : x
  2. Step 2: Convert to fraction form
    1,097.64/1,645.92 = 549.72/x
  3. Step 3: Cross multiply
    1,097.64x = 1,645.92 × 549.72
  4. Step 4: Simplify right side
    1,097.64x = 904,795.14
  5. Step 5: Solve for x
    x = 904,795.14/1,097.64
  6. Step 6: Final answer
    x = 824.31

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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.