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Finding the Fourth Proportional to 1,193.24, 1,787.22 and 917.30

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Solution

The fourth proportional to 1,193.24, 1,787.22 and 917.30 is: 1,373.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.24 : 1,787.22 = 917.30 : x
  2. Step 2: Convert to fraction form
    1,193.24/1,787.22 = 917.30/x
  3. Step 3: Cross multiply
    1,193.24x = 1,787.22 × 917.30
  4. Step 4: Simplify right side
    1,193.24x = 1,639,416.91
  5. Step 5: Solve for x
    x = 1,639,416.91/1,193.24
  6. Step 6: Final answer
    x = 1,373.92

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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.