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Finding the Fourth Proportional to 1,097.64, 1,646.16 and 549.42

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Solution

The fourth proportional to 1,097.64, 1,646.16 and 549.42 is: 823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.64 : 1,646.16 = 549.42 : x
  2. Step 2: Convert to fraction form
    1,097.64/1,646.16 = 549.42/x
  3. Step 3: Cross multiply
    1,097.64x = 1,646.16 × 549.42
  4. Step 4: Simplify right side
    1,097.64x = 904,433.23
  5. Step 5: Solve for x
    x = 904,433.23/1,097.64
  6. Step 6: Final answer
    x = 823.98

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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.