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Finding the Fourth Proportional to 853.90, 1,177.77 and 601.42

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Solution

The fourth proportional to 853.90, 1,177.77 and 601.42 is: 829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.90 : 1,177.77 = 601.42 : x
  2. Step 2: Convert to fraction form
    853.90/1,177.77 = 601.42/x
  3. Step 3: Cross multiply
    853.90x = 1,177.77 × 601.42
  4. Step 4: Simplify right side
    853.90x = 708,334.43
  5. Step 5: Solve for x
    x = 708,334.43/853.90
  6. Step 6: Final answer
    x = 829.53

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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.