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Finding the Fourth Proportional to 854.11, 1,178.55 and 495.19

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Solution

The fourth proportional to 854.11, 1,178.55 and 495.19 is: 683.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.11 : 1,178.55 = 495.19 : x
  2. Step 2: Convert to fraction form
    854.11/1,178.55 = 495.19/x
  3. Step 3: Cross multiply
    854.11x = 1,178.55 × 495.19
  4. Step 4: Simplify right side
    854.11x = 583,606.17
  5. Step 5: Solve for x
    x = 583,606.17/854.11
  6. Step 6: Final answer
    x = 683.29

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Double scale
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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.