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Finding the Fourth Proportional to 1,140.39, 1,573.74 and 616.43

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Solution

The fourth proportional to 1,140.39, 1,573.74 and 616.43 is: 850.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.39 : 1,573.74 = 616.43 : x
  2. Step 2: Convert to fraction form
    1,140.39/1,573.74 = 616.43/x
  3. Step 3: Cross multiply
    1,140.39x = 1,573.74 × 616.43
  4. Step 4: Simplify right side
    1,140.39x = 970,092.68
  5. Step 5: Solve for x
    x = 970,092.68/1,140.39
  6. Step 6: Final answer
    x = 850.66

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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.