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Finding the Fourth Proportional to 1,097.46, 1,646.22 and 404.16

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Solution

The fourth proportional to 1,097.46, 1,646.22 and 404.16 is: 606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.46 : 1,646.22 = 404.16 : x
  2. Step 2: Convert to fraction form
    1,097.46/1,646.22 = 404.16/x
  3. Step 3: Cross multiply
    1,097.46x = 1,646.22 × 404.16
  4. Step 4: Simplify right side
    1,097.46x = 665,336.28
  5. Step 5: Solve for x
    x = 665,336.28/1,097.46
  6. Step 6: Final answer
    x = 606.25

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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.