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Finding the Fourth Proportional to 854, 1,177.76 and 538.88

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Solution

The fourth proportional to 854, 1,177.76 and 538.88 is: 743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    854 : 1,177.76 = 538.88 : x
  2. Step 2: Convert to fraction form
    854/1,177.76 = 538.88/x
  3. Step 3: Cross multiply
    854x = 1,177.76 × 538.88
  4. Step 4: Simplify right side
    854x = 634,671.31
  5. Step 5: Solve for x
    x = 634,671.31/854
  6. Step 6: Final answer
    x = 743.17

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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.