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Finding the Fourth Proportional to 787.74, 1,087.03 and 456.14

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Solution

The fourth proportional to 787.74, 1,087.03 and 456.14 is: 629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.74 : 1,087.03 = 456.14 : x
  2. Step 2: Convert to fraction form
    787.74/1,087.03 = 456.14/x
  3. Step 3: Cross multiply
    787.74x = 1,087.03 × 456.14
  4. Step 4: Simplify right side
    787.74x = 495,841.15
  5. Step 5: Solve for x
    x = 495,841.15/787.74
  6. Step 6: Final answer
    x = 629.45

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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.