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Finding the Fourth Proportional to 787.05, 1,180.58 and 293.57

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Solution

The fourth proportional to 787.05, 1,180.58 and 293.57 is: 440.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.05 : 1,180.58 = 293.57 : x
  2. Step 2: Convert to fraction form
    787.05/1,180.58 = 293.57/x
  3. Step 3: Cross multiply
    787.05x = 1,180.58 × 293.57
  4. Step 4: Simplify right side
    787.05x = 346,582.87
  5. Step 5: Solve for x
    x = 346,582.87/787.05
  6. Step 6: Final answer
    x = 440.36

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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.