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Finding the Fourth Proportional to 738.70, 1,108.64 and 430.99

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Solution

The fourth proportional to 738.70, 1,108.64 and 430.99 is: 646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.70 : 1,108.64 = 430.99 : x
  2. Step 2: Convert to fraction form
    738.70/1,108.64 = 430.99/x
  3. Step 3: Cross multiply
    738.70x = 1,108.64 × 430.99
  4. Step 4: Simplify right side
    738.70x = 477,812.75
  5. Step 5: Solve for x
    x = 477,812.75/738.70
  6. Step 6: Final answer
    x = 646.83

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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.