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Finding the Fourth Proportional to 854.42, 1,178.51 and 523.01

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Solution

The fourth proportional to 854.42, 1,178.51 and 523.01 is: 721.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.42 : 1,178.51 = 523.01 : x
  2. Step 2: Convert to fraction form
    854.42/1,178.51 = 523.01/x
  3. Step 3: Cross multiply
    854.42x = 1,178.51 × 523.01
  4. Step 4: Simplify right side
    854.42x = 616,364.01
  5. Step 5: Solve for x
    x = 616,364.01/854.42
  6. Step 6: Final answer
    x = 721.39

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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.