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Finding the Fourth Proportional to 787.82, 1,087.14 and 456.08

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Solution

The fourth proportional to 787.82, 1,087.14 and 456.08 is: 629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.82 : 1,087.14 = 456.08 : x
  2. Step 2: Convert to fraction form
    787.82/1,087.14 = 456.08/x
  3. Step 3: Cross multiply
    787.82x = 1,087.14 × 456.08
  4. Step 4: Simplify right side
    787.82x = 495,822.81
  5. Step 5: Solve for x
    x = 495,822.81/787.82
  6. Step 6: Final answer
    x = 629.36

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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.