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Finding the Fourth Proportional to 1,097.59, 1,646.66 and 1,007.59

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Solution

The fourth proportional to 1,097.59, 1,646.66 and 1,007.59 is: 1,511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.59 : 1,646.66 = 1,007.59 : x
  2. Step 2: Convert to fraction form
    1,097.59/1,646.66 = 1,007.59/x
  3. Step 3: Cross multiply
    1,097.59x = 1,646.66 × 1,007.59
  4. Step 4: Simplify right side
    1,097.59x = 1,659,153.11
  5. Step 5: Solve for x
    x = 1,659,153.11/1,097.59
  6. Step 6: Final answer
    x = 1,511.63

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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.