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Finding the Fourth Proportional to 798.08, 1,196 and 554.24

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Solution

The fourth proportional to 798.08, 1,196 and 554.24 is: 830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.08 : 1,196 = 554.24 : x
  2. Step 2: Convert to fraction form
    798.08/1,196 = 554.24/x
  3. Step 3: Cross multiply
    798.08x = 1,196 × 554.24
  4. Step 4: Simplify right side
    798.08x = 662,871.04
  5. Step 5: Solve for x
    x = 662,871.04/798.08
  6. Step 6: Final answer
    x = 830.58

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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.