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Finding the Fourth Proportional to 1,251.36, 1,877.34 and 385.68

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Solution

The fourth proportional to 1,251.36, 1,877.34 and 385.68 is: 578.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.36 : 1,877.34 = 385.68 : x
  2. Step 2: Convert to fraction form
    1,251.36/1,877.34 = 385.68/x
  3. Step 3: Cross multiply
    1,251.36x = 1,877.34 × 385.68
  4. Step 4: Simplify right side
    1,251.36x = 724,052.49
  5. Step 5: Solve for x
    x = 724,052.49/1,251.36
  6. Step 6: Final answer
    x = 578.61

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1.5x scale

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.