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Finding the Fourth Proportional to 853.36, 1,177.12 and 521.92

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Solution

The fourth proportional to 853.36, 1,177.12 and 521.92 is: 719.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.36 : 1,177.12 = 521.92 : x
  2. Step 2: Convert to fraction form
    853.36/1,177.12 = 521.92/x
  3. Step 3: Cross multiply
    853.36x = 1,177.12 × 521.92
  4. Step 4: Simplify right side
    853.36x = 614,362.47
  5. Step 5: Solve for x
    x = 614,362.47/853.36
  6. Step 6: Final answer
    x = 719.93

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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.