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Finding the Fourth Proportional to 867.65, 1,196.64 and 535.75

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Solution

The fourth proportional to 867.65, 1,196.64 and 535.75 is: 738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.65 : 1,196.64 = 535.75 : x
  2. Step 2: Convert to fraction form
    867.65/1,196.64 = 535.75/x
  3. Step 3: Cross multiply
    867.65x = 1,196.64 × 535.75
  4. Step 4: Simplify right side
    867.65x = 641,096.89
  5. Step 5: Solve for x
    x = 641,096.89/867.65
  6. Step 6: Final answer
    x = 738.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.