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Finding the Fourth Proportional to 854.24, 1,179.40 and 555.76

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Solution

The fourth proportional to 854.24, 1,179.40 and 555.76 is: 767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.24 : 1,179.40 = 555.76 : x
  2. Step 2: Convert to fraction form
    854.24/1,179.40 = 555.76/x
  3. Step 3: Cross multiply
    854.24x = 1,179.40 × 555.76
  4. Step 4: Simplify right side
    854.24x = 655,463.34
  5. Step 5: Solve for x
    x = 655,463.34/854.24
  6. Step 6: Final answer
    x = 767.31

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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.