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Finding the Fourth Proportional to 767.09, 1,151.08 and 459.54

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Solution

The fourth proportional to 767.09, 1,151.08 and 459.54 is: 689.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.09 : 1,151.08 = 459.54 : x
  2. Step 2: Convert to fraction form
    767.09/1,151.08 = 459.54/x
  3. Step 3: Cross multiply
    767.09x = 1,151.08 × 459.54
  4. Step 4: Simplify right side
    767.09x = 528,966.15
  5. Step 5: Solve for x
    x = 528,966.15/767.09
  6. Step 6: Final answer
    x = 689.57

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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.