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Finding the Fourth Proportional to 798.56, 1,197.14 and 432.94

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Solution

The fourth proportional to 798.56, 1,197.14 and 432.94 is: 649.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.56 : 1,197.14 = 432.94 : x
  2. Step 2: Convert to fraction form
    798.56/1,197.14 = 432.94/x
  3. Step 3: Cross multiply
    798.56x = 1,197.14 × 432.94
  4. Step 4: Simplify right side
    798.56x = 518,289.79
  5. Step 5: Solve for x
    x = 518,289.79/798.56
  6. Step 6: Final answer
    x = 649.03

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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.