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Finding the Fourth Proportional to 853.06, 1,177.23 and 543.10

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Solution

The fourth proportional to 853.06, 1,177.23 and 543.10 is: 749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.06 : 1,177.23 = 543.10 : x
  2. Step 2: Convert to fraction form
    853.06/1,177.23 = 543.10/x
  3. Step 3: Cross multiply
    853.06x = 1,177.23 × 543.10
  4. Step 4: Simplify right side
    853.06x = 639,353.61
  5. Step 5: Solve for x
    x = 639,353.61/853.06
  6. Step 6: Final answer
    x = 749.48

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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.