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Finding the Fourth Proportional to 854.06, 1,178.57 and 499.99

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Solution

The fourth proportional to 854.06, 1,178.57 and 499.99 is: 689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.06 : 1,178.57 = 499.99 : x
  2. Step 2: Convert to fraction form
    854.06/1,178.57 = 499.99/x
  3. Step 3: Cross multiply
    854.06x = 1,178.57 × 499.99
  4. Step 4: Simplify right side
    854.06x = 589,273.21
  5. Step 5: Solve for x
    x = 589,273.21/854.06
  6. Step 6: Final answer
    x = 689.97

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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.