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Finding the Fourth Proportional to 738.95, 1,107.26 and 430.88

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Solution

The fourth proportional to 738.95, 1,107.26 and 430.88 is: 645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.95 : 1,107.26 = 430.88 : x
  2. Step 2: Convert to fraction form
    738.95/1,107.26 = 430.88/x
  3. Step 3: Cross multiply
    738.95x = 1,107.26 × 430.88
  4. Step 4: Simplify right side
    738.95x = 477,094.03
  5. Step 5: Solve for x
    x = 477,094.03/738.95
  6. Step 6: Final answer
    x = 645.64

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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.