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Finding the Fourth Proportional to 854.68, 1,178.82 and 522.83

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Solution

The fourth proportional to 854.68, 1,178.82 and 522.83 is: 721.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.68 : 1,178.82 = 522.83 : x
  2. Step 2: Convert to fraction form
    854.68/1,178.82 = 522.83/x
  3. Step 3: Cross multiply
    854.68x = 1,178.82 × 522.83
  4. Step 4: Simplify right side
    854.68x = 616,322.46
  5. Step 5: Solve for x
    x = 616,322.46/854.68
  6. Step 6: Final answer
    x = 721.11

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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.