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Finding the Fourth Proportional to 837.43, 1,155.71 and 505.85

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Solution

The fourth proportional to 837.43, 1,155.71 and 505.85 is: 698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.43 : 1,155.71 = 505.85 : x
  2. Step 2: Convert to fraction form
    837.43/1,155.71 = 505.85/x
  3. Step 3: Cross multiply
    837.43x = 1,155.71 × 505.85
  4. Step 4: Simplify right side
    837.43x = 584,611.39
  5. Step 5: Solve for x
    x = 584,611.39/837.43
  6. Step 6: Final answer
    x = 698.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.