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Finding the Fourth Proportional to 1,097.70, 1,646.54 and 276.02

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Solution

The fourth proportional to 1,097.70, 1,646.54 and 276.02 is: 414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.70 : 1,646.54 = 276.02 : x
  2. Step 2: Convert to fraction form
    1,097.70/1,646.54 = 276.02/x
  3. Step 3: Cross multiply
    1,097.70x = 1,646.54 × 276.02
  4. Step 4: Simplify right side
    1,097.70x = 454,477.97
  5. Step 5: Solve for x
    x = 454,477.97/1,097.70
  6. Step 6: Final answer
    x = 414.03

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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.