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Finding the Fourth Proportional to 853.56, 1,177.42 and 538.71

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Solution

The fourth proportional to 853.56, 1,177.42 and 538.71 is: 743.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.56 : 1,177.42 = 538.71 : x
  2. Step 2: Convert to fraction form
    853.56/1,177.42 = 538.71/x
  3. Step 3: Cross multiply
    853.56x = 1,177.42 × 538.71
  4. Step 4: Simplify right side
    853.56x = 634,287.59
  5. Step 5: Solve for x
    x = 634,287.59/853.56
  6. Step 6: Final answer
    x = 743.11

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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.