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Finding the Fourth Proportional to 1,097.19, 1,646.45 and 480.89

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Solution

The fourth proportional to 1,097.19, 1,646.45 and 480.89 is: 721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.19 : 1,646.45 = 480.89 : x
  2. Step 2: Convert to fraction form
    1,097.19/1,646.45 = 480.89/x
  3. Step 3: Cross multiply
    1,097.19x = 1,646.45 × 480.89
  4. Step 4: Simplify right side
    1,097.19x = 791,750.70
  5. Step 5: Solve for x
    x = 791,750.70/1,097.19
  6. Step 6: Final answer
    x = 721.62

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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.