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Finding the Fourth Proportional to 853.86, 1,178.06 and 521.94

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Solution

The fourth proportional to 853.86, 1,178.06 and 521.94 is: 720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.86 : 1,178.06 = 521.94 : x
  2. Step 2: Convert to fraction form
    853.86/1,178.06 = 521.94/x
  3. Step 3: Cross multiply
    853.86x = 1,178.06 × 521.94
  4. Step 4: Simplify right side
    853.86x = 614,881.38
  5. Step 5: Solve for x
    x = 614,881.38/853.86
  6. Step 6: Final answer
    x = 720.12

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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.