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Finding the Fourth Proportional to 945.74, 1,418.82 and 397.78

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Solution

The fourth proportional to 945.74, 1,418.82 and 397.78 is: 596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.74 : 1,418.82 = 397.78 : x
  2. Step 2: Convert to fraction form
    945.74/1,418.82 = 397.78/x
  3. Step 3: Cross multiply
    945.74x = 1,418.82 × 397.78
  4. Step 4: Simplify right side
    945.74x = 564,373.18
  5. Step 5: Solve for x
    x = 564,373.18/945.74
  6. Step 6: Final answer
    x = 596.75

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Double scale
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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.