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Finding the Fourth Proportional to 1,113.48, 1,667.97 and 578.26

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Solution

The fourth proportional to 1,113.48, 1,667.97 and 578.26 is: 866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.48 : 1,667.97 = 578.26 : x
  2. Step 2: Convert to fraction form
    1,113.48/1,667.97 = 578.26/x
  3. Step 3: Cross multiply
    1,113.48x = 1,667.97 × 578.26
  4. Step 4: Simplify right side
    1,113.48x = 964,520.33
  5. Step 5: Solve for x
    x = 964,520.33/1,113.48
  6. Step 6: Final answer
    x = 866.22

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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.