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Finding the Fourth Proportional to 1,217.08, 1,678.89 and 797.50

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Solution

The fourth proportional to 1,217.08, 1,678.89 and 797.50 is: 1,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.08 : 1,678.89 = 797.50 : x
  2. Step 2: Convert to fraction form
    1,217.08/1,678.89 = 797.50/x
  3. Step 3: Cross multiply
    1,217.08x = 1,678.89 × 797.50
  4. Step 4: Simplify right side
    1,217.08x = 1,338,914.78
  5. Step 5: Solve for x
    x = 1,338,914.78/1,217.08
  6. Step 6: Final answer
    x = 1,100.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.