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Finding the Fourth Proportional to 919.72, 1,378.50 and 432.64

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Solution

The fourth proportional to 919.72, 1,378.50 and 432.64 is: 648.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.72 : 1,378.50 = 432.64 : x
  2. Step 2: Convert to fraction form
    919.72/1,378.50 = 432.64/x
  3. Step 3: Cross multiply
    919.72x = 1,378.50 × 432.64
  4. Step 4: Simplify right side
    919.72x = 596,394.24
  5. Step 5: Solve for x
    x = 596,394.24/919.72
  6. Step 6: Final answer
    x = 648.45

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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.