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Finding the Fourth Proportional to 798, 1,197.36 and 456

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Solution

The fourth proportional to 798, 1,197.36 and 456 is: 684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    798 : 1,197.36 = 456 : x
  2. Step 2: Convert to fraction form
    798/1,197.36 = 456/x
  3. Step 3: Cross multiply
    798x = 1,197.36 × 456
  4. Step 4: Simplify right side
    798x = 545,996.16
  5. Step 5: Solve for x
    x = 545,996.16/798
  6. Step 6: Final answer
    x = 684.21

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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.