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Finding the Fourth Proportional to 918.46, 1,378.30 and 758.08

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Solution

The fourth proportional to 918.46, 1,378.30 and 758.08 is: 1,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.46 : 1,378.30 = 758.08 : x
  2. Step 2: Convert to fraction form
    918.46/1,378.30 = 758.08/x
  3. Step 3: Cross multiply
    918.46x = 1,378.30 × 758.08
  4. Step 4: Simplify right side
    918.46x = 1,044,861.66
  5. Step 5: Solve for x
    x = 1,044,861.66/918.46
  6. Step 6: Final answer
    x = 1,137.62

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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.