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Finding the Fourth Proportional to 799.17, 1,197.50 and 524.65

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Solution

The fourth proportional to 799.17, 1,197.50 and 524.65 is: 786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.17 : 1,197.50 = 524.65 : x
  2. Step 2: Convert to fraction form
    799.17/1,197.50 = 524.65/x
  3. Step 3: Cross multiply
    799.17x = 1,197.50 × 524.65
  4. Step 4: Simplify right side
    799.17x = 628,269.11
  5. Step 5: Solve for x
    x = 628,269.11/799.17
  6. Step 6: Final answer
    x = 786.16

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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.