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Finding the Fourth Proportional to 853.34, 1,177.98 and 542.84

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Solution

The fourth proportional to 853.34, 1,177.98 and 542.84 is: 749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.34 : 1,177.98 = 542.84 : x
  2. Step 2: Convert to fraction form
    853.34/1,177.98 = 542.84/x
  3. Step 3: Cross multiply
    853.34x = 1,177.98 × 542.84
  4. Step 4: Simplify right side
    853.34x = 639,454.66
  5. Step 5: Solve for x
    x = 639,454.66/853.34
  6. Step 6: Final answer
    x = 749.36

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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.