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Finding the Fourth Proportional to 767.88, 1,152.48 and 397.94

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Solution

The fourth proportional to 767.88, 1,152.48 and 397.94 is: 597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.88 : 1,152.48 = 397.94 : x
  2. Step 2: Convert to fraction form
    767.88/1,152.48 = 397.94/x
  3. Step 3: Cross multiply
    767.88x = 1,152.48 × 397.94
  4. Step 4: Simplify right side
    767.88x = 458,617.89
  5. Step 5: Solve for x
    x = 458,617.89/767.88
  6. Step 6: Final answer
    x = 597.25

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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.