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Finding the Fourth Proportional to 1,255.86, 1,884.25 and 434.22

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Solution

The fourth proportional to 1,255.86, 1,884.25 and 434.22 is: 651.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.86 : 1,884.25 = 434.22 : x
  2. Step 2: Convert to fraction form
    1,255.86/1,884.25 = 434.22/x
  3. Step 3: Cross multiply
    1,255.86x = 1,884.25 × 434.22
  4. Step 4: Simplify right side
    1,255.86x = 818,177.95
  5. Step 5: Solve for x
    x = 818,177.95/1,255.86
  6. Step 6: Final answer
    x = 651.49

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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.