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Finding the Fourth Proportional to 853.29, 1,176.75 and 537.93

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Solution

The fourth proportional to 853.29, 1,176.75 and 537.93 is: 741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.29 : 1,176.75 = 537.93 : x
  2. Step 2: Convert to fraction form
    853.29/1,176.75 = 537.93/x
  3. Step 3: Cross multiply
    853.29x = 1,176.75 × 537.93
  4. Step 4: Simplify right side
    853.29x = 633,009.13
  5. Step 5: Solve for x
    x = 633,009.13/853.29
  6. Step 6: Final answer
    x = 741.85

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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.