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Finding the Fourth Proportional to 798.35, 1,195.30 and 407.51

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Solution

The fourth proportional to 798.35, 1,195.30 and 407.51 is: 610.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.35 : 1,195.30 = 407.51 : x
  2. Step 2: Convert to fraction form
    798.35/1,195.30 = 407.51/x
  3. Step 3: Cross multiply
    798.35x = 1,195.30 × 407.51
  4. Step 4: Simplify right side
    798.35x = 487,096.70
  5. Step 5: Solve for x
    x = 487,096.70/798.35
  6. Step 6: Final answer
    x = 610.13

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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.