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Finding the Fourth Proportional to 919.16, 1,378.81 and 431.94

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Solution

The fourth proportional to 919.16, 1,378.81 and 431.94 is: 647.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.16 : 1,378.81 = 431.94 : x
  2. Step 2: Convert to fraction form
    919.16/1,378.81 = 431.94/x
  3. Step 3: Cross multiply
    919.16x = 1,378.81 × 431.94
  4. Step 4: Simplify right side
    919.16x = 595,563.19
  5. Step 5: Solve for x
    x = 595,563.19/919.16
  6. Step 6: Final answer
    x = 647.94

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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.