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Finding the Fourth Proportional to 798.06, 1,196.28 and 412.50

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Solution

The fourth proportional to 798.06, 1,196.28 and 412.50 is: 618.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.06 : 1,196.28 = 412.50 : x
  2. Step 2: Convert to fraction form
    798.06/1,196.28 = 412.50/x
  3. Step 3: Cross multiply
    798.06x = 1,196.28 × 412.50
  4. Step 4: Simplify right side
    798.06x = 493,465.50
  5. Step 5: Solve for x
    x = 493,465.50/798.06
  6. Step 6: Final answer
    x = 618.33

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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.