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Finding the Fourth Proportional to 854.48, 1,178.51 and 644.69

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Solution

The fourth proportional to 854.48, 1,178.51 and 644.69 is: 889.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.48 : 1,178.51 = 644.69 : x
  2. Step 2: Convert to fraction form
    854.48/1,178.51 = 644.69/x
  3. Step 3: Cross multiply
    854.48x = 1,178.51 × 644.69
  4. Step 4: Simplify right side
    854.48x = 759,773.33
  5. Step 5: Solve for x
    x = 759,773.33/854.48
  6. Step 6: Final answer
    x = 889.16

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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.