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Finding the Fourth Proportional to 853.89, 1,178.76 and 574.32

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Solution

The fourth proportional to 853.89, 1,178.76 and 574.32 is: 792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.89 : 1,178.76 = 574.32 : x
  2. Step 2: Convert to fraction form
    853.89/1,178.76 = 574.32/x
  3. Step 3: Cross multiply
    853.89x = 1,178.76 × 574.32
  4. Step 4: Simplify right side
    853.89x = 676,985.44
  5. Step 5: Solve for x
    x = 676,985.44/853.89
  6. Step 6: Final answer
    x = 792.83

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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.