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Finding the Fourth Proportional to 854.04, 1,287.34 and 783.82

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Solution

The fourth proportional to 854.04, 1,287.34 and 783.82 is: 1,181.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.04 : 1,287.34 = 783.82 : x
  2. Step 2: Convert to fraction form
    854.04/1,287.34 = 783.82/x
  3. Step 3: Cross multiply
    854.04x = 1,287.34 × 783.82
  4. Step 4: Simplify right side
    854.04x = 1,009,042.84
  5. Step 5: Solve for x
    x = 1,009,042.84/854.04
  6. Step 6: Final answer
    x = 1,181.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.