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Finding the Fourth Proportional to 797.34, 1,196.55 and 432.17

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Solution

The fourth proportional to 797.34, 1,196.55 and 432.17 is: 648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.34 : 1,196.55 = 432.17 : x
  2. Step 2: Convert to fraction form
    797.34/1,196.55 = 432.17/x
  3. Step 3: Cross multiply
    797.34x = 1,196.55 × 432.17
  4. Step 4: Simplify right side
    797.34x = 517,113.01
  5. Step 5: Solve for x
    x = 517,113.01/797.34
  6. Step 6: Final answer
    x = 648.55

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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.