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Finding the Fourth Proportional to 853.60, 1,178.19 and 522.25

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Solution

The fourth proportional to 853.60, 1,178.19 and 522.25 is: 720.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.60 : 1,178.19 = 522.25 : x
  2. Step 2: Convert to fraction form
    853.60/1,178.19 = 522.25/x
  3. Step 3: Cross multiply
    853.60x = 1,178.19 × 522.25
  4. Step 4: Simplify right side
    853.60x = 615,309.73
  5. Step 5: Solve for x
    x = 615,309.73/853.60
  6. Step 6: Final answer
    x = 720.84

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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.