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Finding the Fourth Proportional to 918.60, 1,378.74 and 431.94

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Solution

The fourth proportional to 918.60, 1,378.74 and 431.94 is: 648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.60 : 1,378.74 = 431.94 : x
  2. Step 2: Convert to fraction form
    918.60/1,378.74 = 431.94/x
  3. Step 3: Cross multiply
    918.60x = 1,378.74 × 431.94
  4. Step 4: Simplify right side
    918.60x = 595,532.96
  5. Step 5: Solve for x
    x = 595,532.96/918.60
  6. Step 6: Final answer
    x = 648.30

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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.