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Finding the Fourth Proportional to 853.93, 1,178.38 and 480.93

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Solution

The fourth proportional to 853.93, 1,178.38 and 480.93 is: 663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.93 : 1,178.38 = 480.93 : x
  2. Step 2: Convert to fraction form
    853.93/1,178.38 = 480.93/x
  3. Step 3: Cross multiply
    853.93x = 1,178.38 × 480.93
  4. Step 4: Simplify right side
    853.93x = 566,718.29
  5. Step 5: Solve for x
    x = 566,718.29/853.93
  6. Step 6: Final answer
    x = 663.66

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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.