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Finding the Fourth Proportional to 853.43, 1,177.94 and 542.75

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Solution

The fourth proportional to 853.43, 1,177.94 and 542.75 is: 749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.43 : 1,177.94 = 542.75 : x
  2. Step 2: Convert to fraction form
    853.43/1,177.94 = 542.75/x
  3. Step 3: Cross multiply
    853.43x = 1,177.94 × 542.75
  4. Step 4: Simplify right side
    853.43x = 639,324.22
  5. Step 5: Solve for x
    x = 639,324.22/853.43
  6. Step 6: Final answer
    x = 749.12

Related Problems

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Double scale
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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.