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Finding the Fourth Proportional to 854.79, 1,179.66 and 500.72

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Solution

The fourth proportional to 854.79, 1,179.66 and 500.72 is: 691.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.79 : 1,179.66 = 500.72 : x
  2. Step 2: Convert to fraction form
    854.79/1,179.66 = 500.72/x
  3. Step 3: Cross multiply
    854.79x = 1,179.66 × 500.72
  4. Step 4: Simplify right side
    854.79x = 590,673.46
  5. Step 5: Solve for x
    x = 590,673.46/854.79
  6. Step 6: Final answer
    x = 691.02

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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.