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Finding the Fourth Proportional to 1,115.77, 1,674.42 and 385.34

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Solution

The fourth proportional to 1,115.77, 1,674.42 and 385.34 is: 578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.77 : 1,674.42 = 385.34 : x
  2. Step 2: Convert to fraction form
    1,115.77/1,674.42 = 385.34/x
  3. Step 3: Cross multiply
    1,115.77x = 1,674.42 × 385.34
  4. Step 4: Simplify right side
    1,115.77x = 645,223.26
  5. Step 5: Solve for x
    x = 645,223.26/1,115.77
  6. Step 6: Final answer
    x = 578.28

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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.