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Finding the Fourth Proportional to 853.66, 1,178.14 and 480.66

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Solution

The fourth proportional to 853.66, 1,178.14 and 480.66 is: 663.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.66 : 1,178.14 = 480.66 : x
  2. Step 2: Convert to fraction form
    853.66/1,178.14 = 480.66/x
  3. Step 3: Cross multiply
    853.66x = 1,178.14 × 480.66
  4. Step 4: Simplify right side
    853.66x = 566,284.77
  5. Step 5: Solve for x
    x = 566,284.77/853.66
  6. Step 6: Final answer
    x = 663.36

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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.