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Finding the Fourth Proportional to 798.66, 1,197.09 and 524.30

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Solution

The fourth proportional to 798.66, 1,197.09 and 524.30 is: 785.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.66 : 1,197.09 = 524.30 : x
  2. Step 2: Convert to fraction form
    798.66/1,197.09 = 524.30/x
  3. Step 3: Cross multiply
    798.66x = 1,197.09 × 524.30
  4. Step 4: Simplify right side
    798.66x = 627,628.30
  5. Step 5: Solve for x
    x = 627,628.30/798.66
  6. Step 6: Final answer
    x = 785.85

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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.