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Finding the Fourth Proportional to 854.09, 1,178.70 and 522.53

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Solution

The fourth proportional to 854.09, 1,178.70 and 522.53 is: 721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.09 : 1,178.70 = 522.53 : x
  2. Step 2: Convert to fraction form
    854.09/1,178.70 = 522.53/x
  3. Step 3: Cross multiply
    854.09x = 1,178.70 × 522.53
  4. Step 4: Simplify right side
    854.09x = 615,906.11
  5. Step 5: Solve for x
    x = 615,906.11/854.09
  6. Step 6: Final answer
    x = 721.13

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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.