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Finding the Fourth Proportional to 854.60, 1,178.88 and 505.22

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Solution

The fourth proportional to 854.60, 1,178.88 and 505.22 is: 696.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.60 : 1,178.88 = 505.22 : x
  2. Step 2: Convert to fraction form
    854.60/1,178.88 = 505.22/x
  3. Step 3: Cross multiply
    854.60x = 1,178.88 × 505.22
  4. Step 4: Simplify right side
    854.60x = 595,593.75
  5. Step 5: Solve for x
    x = 595,593.75/854.60
  6. Step 6: Final answer
    x = 696.93

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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.