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Finding the Fourth Proportional to 854.13, 1,178.51 and 499.96

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Solution

The fourth proportional to 854.13, 1,178.51 and 499.96 is: 689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.13 : 1,178.51 = 499.96 : x
  2. Step 2: Convert to fraction form
    854.13/1,178.51 = 499.96/x
  3. Step 3: Cross multiply
    854.13x = 1,178.51 × 499.96
  4. Step 4: Simplify right side
    854.13x = 589,207.86
  5. Step 5: Solve for x
    x = 589,207.86/854.13
  6. Step 6: Final answer
    x = 689.83

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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.