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Finding the Fourth Proportional to 854.16, 1,274.35 and 761.82

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Solution

The fourth proportional to 854.16, 1,274.35 and 761.82 is: 1,136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.16 : 1,274.35 = 761.82 : x
  2. Step 2: Convert to fraction form
    854.16/1,274.35 = 761.82/x
  3. Step 3: Cross multiply
    854.16x = 1,274.35 × 761.82
  4. Step 4: Simplify right side
    854.16x = 970,825.32
  5. Step 5: Solve for x
    x = 970,825.32/854.16
  6. Step 6: Final answer
    x = 1,136.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.