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Finding the Fourth Proportional to 787.52, 1,181.64 and 403.04

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Solution

The fourth proportional to 787.52, 1,181.64 and 403.04 is: 604.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.52 : 1,181.64 = 403.04 : x
  2. Step 2: Convert to fraction form
    787.52/1,181.64 = 403.04/x
  3. Step 3: Cross multiply
    787.52x = 1,181.64 × 403.04
  4. Step 4: Simplify right side
    787.52x = 476,248.19
  5. Step 5: Solve for x
    x = 476,248.19/787.52
  6. Step 6: Final answer
    x = 604.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.