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Finding the Fourth Proportional to 767.65, 1,059.33 and 505.48

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Solution

The fourth proportional to 767.65, 1,059.33 and 505.48 is: 697.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.65 : 1,059.33 = 505.48 : x
  2. Step 2: Convert to fraction form
    767.65/1,059.33 = 505.48/x
  3. Step 3: Cross multiply
    767.65x = 1,059.33 × 505.48
  4. Step 4: Simplify right side
    767.65x = 535,470.13
  5. Step 5: Solve for x
    x = 535,470.13/767.65
  6. Step 6: Final answer
    x = 697.54

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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.