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Finding the Fourth Proportional to 945.77, 1,418.65 and 252.44

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Solution

The fourth proportional to 945.77, 1,418.65 and 252.44 is: 378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.77 : 1,418.65 = 252.44 : x
  2. Step 2: Convert to fraction form
    945.77/1,418.65 = 252.44/x
  3. Step 3: Cross multiply
    945.77x = 1,418.65 × 252.44
  4. Step 4: Simplify right side
    945.77x = 358,124.01
  5. Step 5: Solve for x
    x = 358,124.01/945.77
  6. Step 6: Final answer
    x = 378.66

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Double scale
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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.