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Finding the Fourth Proportional to 798.87, 1,196.74 and 524.12

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Solution

The fourth proportional to 798.87, 1,196.74 and 524.12 is: 785.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.87 : 1,196.74 = 524.12 : x
  2. Step 2: Convert to fraction form
    798.87/1,196.74 = 524.12/x
  3. Step 3: Cross multiply
    798.87x = 1,196.74 × 524.12
  4. Step 4: Simplify right side
    798.87x = 627,235.37
  5. Step 5: Solve for x
    x = 627,235.37/798.87
  6. Step 6: Final answer
    x = 785.15

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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.