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Finding the Fourth Proportional to 1,169.49, 1,614.01 and 874.24

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Solution

The fourth proportional to 1,169.49, 1,614.01 and 874.24 is: 1,206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.49 : 1,614.01 = 874.24 : x
  2. Step 2: Convert to fraction form
    1,169.49/1,614.01 = 874.24/x
  3. Step 3: Cross multiply
    1,169.49x = 1,614.01 × 874.24
  4. Step 4: Simplify right side
    1,169.49x = 1,411,032.10
  5. Step 5: Solve for x
    x = 1,411,032.10/1,169.49
  6. Step 6: Final answer
    x = 1,206.54

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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.