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Finding the Fourth Proportional to 1,272.25, 1,754.85 and 846.91

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Solution

The fourth proportional to 1,272.25, 1,754.85 and 846.91 is: 1,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.25 : 1,754.85 = 846.91 : x
  2. Step 2: Convert to fraction form
    1,272.25/1,754.85 = 846.91/x
  3. Step 3: Cross multiply
    1,272.25x = 1,754.85 × 846.91
  4. Step 4: Simplify right side
    1,272.25x = 1,486,200.01
  5. Step 5: Solve for x
    x = 1,486,200.01/1,272.25
  6. Step 6: Final answer
    x = 1,168.17

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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.