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Finding the Fourth Proportional to 1,097.64, 1,646.06 and 480.92

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Solution

The fourth proportional to 1,097.64, 1,646.06 and 480.92 is: 721.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.64 : 1,646.06 = 480.92 : x
  2. Step 2: Convert to fraction form
    1,097.64/1,646.06 = 480.92/x
  3. Step 3: Cross multiply
    1,097.64x = 1,646.06 × 480.92
  4. Step 4: Simplify right side
    1,097.64x = 791,623.18
  5. Step 5: Solve for x
    x = 791,623.18/1,097.64
  6. Step 6: Final answer
    x = 721.20

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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.